The Dropboxapocalypse wrecked most of the thread, so presented here is the entire list of modern ships, with updated Imgur links where they've been drawn.
5 + 5 x Empress Amarina the Great CVN
First unit of class was ordered in 1993 and delivered in 1998 - deliveries are ongoing at a rate of one every 4 years (2002, 2006, 2010, 2014, 2018, 2022, 2026, 2030, 2034). Modern units have 4 x 95m mass driver catapults, with older units having conventional steam, with a capacity of 90+ aircraft. The crown jewels of the Navy, these are expensive twin-island ships - large, fast, and a clean-sheet look at what was necessary to engage "major strategic threats" - i.e., the United States Navy. Construction continues to replace the final oil-burning carriers.
6 x Empress Amara CV
(88,000 tons, ~82 aircraft) First commissioned 1970, last 1986, the first is preparing to transition to a training carrier role. These were relatively conventional ships of conventional appearance with a single large island, steam-powered, and relatively well-armed and armoured.
2 x Alinga-class BB (1 in Active Reserve, 1 Girls'/Midshipwoman Training Ship) - the two alternate being in service to even wear over the hulls.
Battleships larger than even the Yamato, the pair entered service soon after the end of World War Two - becoming the centrepieces of task groups assigned the unenviable task of ambushing USN carrier forces attempting to penetrate the Pacific through the Southern Ocean. The dawning of reliable all-weather attack capability on US CVAs saw the end of the mission, and a change to a somewhat desultory gunboat diplomacy off Africa and Arabia. The proliferation of cruise missiles and modern submarines has seen them, in the twilight of their service lives, use their voracious appetite for crew as training and drill ships. The drawing shows them as commissioned, not their modern configuration)
2 x Moon-and-Star class armoured frigate (2 Sail Training Ships - old iron-hulled frigates, given modern sailing rigs and rescued from coal hulk duty - indifferent sailors at best, but have great emotional value as the first ships of the 'modern' iron and steam navy.)
0 + 6 Queen-of-Stars class Arsenal ship/BBGN
Not truly a battleship, these ships are intended to replace the pair of Alingas (and their long-gone four smaller cousins)- a total of six are on order, and will permit the final retirement of the battleships, saving an estimated sixteen to twenty billion USD in crew costs during their service lives. It is believed they will have the Navy's first composite deckhouse with a new-generation of large-face planar array search radars. The ships will have the capability to control short-range SAMs and six of the next-generation CIWS system. Dimensions are believed to be 245m x 29m, displacing ~30,000 tons at full load. Naval construction standards, internal side protection and armored bulkheads between VLS clusters and armored covers for the 640 VLS cells (in 128 cells forward, 256 cells amidships, and 256 cells aft), 25 knots sea speed. One reactor plus backup/boost diesel generators, electric propulsion. Crew of 200. First ship to be laid down in 2016 with an order finally placed 18 years after the program began in 1997.
12 x Queen Ranavalona class CAGN
(first entered service in 1990, last in 1999 - very large nuclear-powered battle-space management ships, these were part of a massive end-of-Cold-War rationalizing of the fleet - they replaced three times their number in old legacy ships, which was the only thing that kept the program from being massively curtailed with the chaotic reform of the USSR into the USS. Ships tended to have various systems 'fitted for but not with' as a result of the rushed build schedule, to fit into a narrow gap in the nuclear-capable yards - all were upgraded to the same standard by 2006. They are often station ships, carrying 48 heavy ABMs plus an area-defense suite.
29 + 11 x Challenger class CLGN
(First delivered in 2002, five in 2005, further six in 2008, further six in 2011, another six in 2014, six in 2017, five in 2020, one in 2023 - the modern air defense ship of the Navy, it has the amenities and improved survivability to make it a true cruiser.)
14 x Eclipse class CLG
(Remainder will be paid off and scrapped as their replacements enter service. Older ships, using the latest mark of Sea Dart II.)
1+ 47 x Antimache FFNs
(Built to the same platform and cruiser standards of the Challengers, these ships resurrect the old 'frigate' designation to avoid major political embarrassment and risk over the confusing ship classification interaction with the statutory Naval Regulations, and have a primary ASW role to replace the Duchess Cardinia's - the first will be delivered in 2015 - the others to follow at the same rate of the Challengers.)
48 x Duchess Cardinia DDs (Entered service between 1988 and 2002)
(Built in partial partnership with the Canadians, these are fleet escorts in a true sense - what replaced a large number of various older, smaller steam powered vessels and begat the widespread deployment of towed arrays. Their AAW suite is disturbingly weak for a modern vessel, but only the vessels intended to remain in service for more than twelve additional years are being refitted.
2 + 6 x Tang Sai'er DDs (First delivered in 2012 - last unit scheduled to be delivered in ~2020.)
Naval Volunteer Reserve / Coast Guard:
6 x Wah-Kah-Nee-class nuclear icebreakers.
Monstrous 195m x 38m vessels, if not for the permanent settlements on the Antarctic mainland, they would not exist. Rated at the ability to break 3.5m of ice continuously, and over ten metres while backing and ramming, with ~150,000 shaft horsepower provided by their reactor plants. Fitted with 4 twin 84mm guns and four Kashtan CIWS mounts.
6 x Sanna-class nuclear icebreakers
Much smaller 150m x 29.5m vessels, rated at 2.5m of ice at a continuous speed - only have one-half the power of the larger units. 4 twin 120mm guns and two quadruple 30mm CIWS mounts. Life-extended, image is of pre-SLEP refit. First ship to retire in 2038.
32 x Worlmamirri-class based PFs
Based on the Danish Absalon-class design. Wartime amphibious escort role.
60 x Bunthabong class OPVs
Relatively efficient vessels, these offshore patrol vessels are designed to take containerized SAMs aft in the event of a war, along with an austere towed array sonar and torpedoes for their onboard helicopter.
80 x Lake Djeri-class IPVs
No wartime role but harbour defense.
24 x oceangoing buoy tenders
85m x 18m, 16 knots, 4000 tonnes. Buoy tending, SAR, light icebreaking roles. Telescoping hangar for 1 light helicopter.
3 x Victoria-class third class cruisers
Vessels meant to provide long range fire support & C&C capability to the border guard forces in Africa.
9 x Luedij Rweej-class bomb vessels
Combination landing and COIN fire support ships, all of these vessels serve along the Tanganyikan frontier, on the various lakes that partition the Royal lands from the rest of the continent.
4 x Arwà al-Ṣulayḥī-class CVHA
Designed to carry helicopters, both attack and transport, to support the main amphibious landings, these steam-powered ships were ordered in the mid 1980's, based on the Shajar al-Durr Sultana combi-liner of the Red Crescent Line. Minimal changes were made where-ever possible to keep costs down. 32 VL Seawolf, 4 x quad 30mm CIWS. More than 35,000 tons fully loaded, 27 knots, 4 shaft. 34 heavy-weight helicopter capacity, usual configuration is 12 attack helicopters, 4 super-heavy lift helicopters, 24 utility helicopters, 6 Peregrine VSTOL fighters. While a Sea Control Ship role is possible, it has only been attempted in trials during the late 1980's, never done operationally. The ships are fitted with a single standard-length steam catapult for use in flying off transported aircraft in peacetime. They have no aircraft arrestor capability. No permanent ground force or cargo capacity.
2 + 1 x Nyai Roro Kidul-class CVH
The first vessel of this class, authorized but not funded in 2005, was part of an effort to assist certain deficiencies in the amphibious assault force. The class was designed to be simple, and partly to civilian standards. This was, in the end, not achieved. IEP for 22 knots sustained. 28 medium helicopters, 22 utility/ASW, 6 attack. 6 spot flight deck, 2 elevators. Capable of being configured to carry up to 500 Marines/Naval infantry, they rarely do so, the spaces being usually kept configured for the ship's casualty receiving station. 24 self-defense length VLS cells, 4 Kashtan CIWS units. First vessel commissioned 2013, second in 2014 - last to complete in 2016.
20 x Naituyaga class LSH
With the first ship of this class laid down in 1988, they are starting to show some signs age by this point - the oldest of the beaching amphibious ships intended to remain in service past 2020 at this point, they are being slowly modernized and life-extended; approximately 16,750 tons and 170m x 26m, they are armed with 32 VL Distaff Seawolf, 3 quad 30mm CIWS, and one twin 84mm/70, with two rocket launchers forward. Sea speed of twenty-two knots, two Chinook-class helicopters hangared aft. Carrying capacity of one Naval Infantry battalion and eighty-six infantry fighting vehicles. Beachable.
10 x Round Table-class LSL (All in Reserve @ 5 days notice)
Older vessels, retained in reserve for disaster relief, or as an emergency surge of sealift - their ability to self-beach and unload is regarded as still valuable, even if they are exquisitely vulnerable to attack from advanced weapons by this date - these ships are being transfered to naval militias as their replacements are delivered.
30 + 10 x Baradah class LSL/LST
A new class, continuing the renewal of the Imperial & Royal Marines, in addition to the heavy amphibious force, these vessels are large, modern, beaching-capable craft. They mount a twin 84mm/70 rapid-fire on a pedestal before the bridge. Two MLRS launchers on the weather deck flank the forward centreline gun mounting - a two island superstructure provides some survivability as well as a cargo storage and handling area with cranes amidships. Four Kashtan mountings are fitted on the corners of the superstructures, due to a belief that it may be difficult to ensure the beachead is kept completely clear of air threats. A helicopter pad is fitted aft with a hangar, allowing carriage of a singular example of the Chinook-esque helicopters so beloved by the services, or a pair of smaller rotorcraft. Intended sustained sea speed is 22 knots on diesel-electric - early ships required modifications to their propellers to achieve this - displacement is slightly less than 9,000 tons. 145m x 20m. Carrying capacity 400 troops, 15 tanks or 40 APCs. First ship delivered 2006, delivery continuing.
50 x Silverstar class LCU
A relatively new class, with the first delivered in the early 90's. 97.5m x 9.5m, 1850 tons, 19 knots. Carries 140 equipped troops. Fitted with four marinized Pantsir-S1 units on the corners of the superstructure.
24 x Zubr class LCAC
A license was purchased in one of the few successful efforts at sharing cost burdens between the two unlikely friendly-ish powers - for raiding operations in confined waters, and with western engines, weapons, and electronics.
20 x Ardent class MCM (1500 tons)
Larger vessels, along the lines of the Soviet Gorya-class, GRP-coated wood on aluminium frame.
30 x Hunt class MCM (2 x 30mm/70)
As per the British class, though with Californian engines and weapons.
8 x Hovercraft-based MCM[H] (In Reserve)
Something of a disappointment - while they were capable of reaching a mined area very quickly, and incredibly resistant to damage from mines, their voracious appetite for fuel gave them extremely short staying power in an area, unless a tender was immediately available. The lesson was learned, and so these vessels are no longer part of the active fleet, with the Navy's appetite for daring leaps forward in technology still somewhat suppressed. Their failure saw an additional tranche of Hunts ordered instead.
Light Defence Craft
29 + 19 x Maroochydore-class sloops
A program that has undergone repeated re-definition during the procurement process, these sloops are seen as a second-tier combatants, capable of being assigned to roles one of the larger vessels would be too valuable to risk using in, such as China Sea patrols.
32 + 22 x Charlotte Corday-class SSN (first ordered 1999, last to be ordered in 2029)
Modern, of high-grade steel, double-hulled. The Californian answer to the Seawolf.
16 x Barramundi-class SSK
A completely native design to meet their own requirements, a modern SSK designed for defence of certain chokepoints. Two four-boat and one six-boat detachments maintained. The largest in in Airyanem one squadron in Tierra del Fuego, and the last in Larrakia, to cover the seas near Indonesia. A pair of boats serve as training craft in Lake Djeri. These are likely to be the last diesel boats of the ICN - there was some early discussion of attempting to sell them off and increase the tempo of Corday class production, but this seems unlikely.
24 x Rays of Dawn SSBN (24 missile)
Very large, modern, quiet - double-hulled, and the beneficiary of the end of the land-based ICBM force.
3 x Nguruvilu-class Special Operations submarines
Titanium-hulled, very expensive yet only moderately-sized (~4,000 tons) nuclear submarines, these are designed for a wide variety of clandestine operations around the world, from small group infiltration to "ocean engineering". They have two external mission modules, and a full combat system from the SSKs - which their general hull form was based upon - being armed with a pair of torpedo tubes.
4 x Dainya-class Ocean Engineering/Research submarines
Titanium hulled and nuclear powered, with linked spherical pressure hulls, this moderately sized (60m long) submarine is designed for a variety of seafloor exploration/exploitation. Equipped with manipular arms forward and un-armed, has an operating depth in excess of 6,500 metres. Somewhat slow, but capable of independent operation. Crew of 20-25, depending on mission. Unarmed.
3 x Duchess Hoffmeyer-class AGFN
Built leisurely at the tail end of the Queen Ranavalona line and using the same hull, these are dual purpose fleet/amphibious command ships - expensive, but allowing the carriers to not carry otherwise very expensive command and control equipment when they already labor under lavish self-defense suites.
2 x Vigilant-class CTGN
A pair of ships built to prove the nuclear reactors and radar technology intended for the Queen Ranavalonas, they serve as the test and training ships, one to each fleet.
6 x SWATH 'sonar support ships' of ~5,000 tons
Special towed-array tugs of the type so popular in the West.
6 x Deep-sea operations ships/submarine rescue/heavy salvage vessels (16,000 tons, two submersibles, one helicopter)
6 x large (13,500 tonne) ocean survey vessels
14 x medium (4,000 tonne) hydrographic survey ships
18 x coastal/EEZ (1,500 tonne) hydrographic survey ships
6 x Barnumbirr-class missile range instrumentation/space support ships
36,500 tons, nuclear powered, 2 helicopters. 1 x 2 120mm/50 RF, 4 x 4 30mm CIWS, 4 x twin LW Sea Wolf, 6 x 550mm TT.
12 x fleet intelligence collection ships (5,000 tons, 2 x 25mm gatling CIWS)
Classified x trawler-type intelligence collection ships
1 x Imperial & Royal Yacht
Old iron-hulled liner - carefully cared for and modernized.
10 x AORN (Distaff Sea Wolf, Sea Dart II, large, fleet speed vessels.)
12 x Wave-class AOs
6 x Solid-Stores Support Ships
3 x Heavy Repair Ships
4 x Hospital Ships (2 @ 5 days notice, 2 @ 15 days notice)
24 x RoRo cargo ships (Usually in merchant service, ~60k tons)
6 x submarine tenders (4 usually in reserve @ 90 days notice)
4 x destroyer tenders (Usually in reserve @ 90 days notice)
8 x seaplane tenders (2 usually in reserve @ 15 days notice, four @ 90 days notice)
6 x salvage tugs
10 x fleet tugs
6 x salvage ships
4 x cable ships