Together with SAS, Alitalia was the largest operator of the MD-80 outside the United States with 90 units -all of the MD-82 series- operated between 1983 and 2012.
Here are some, augmenting the original done by Eswube a few years ago:
I-DAWA: The first MD-82 delivered to the airline, in service between December 16 1983 and December 28 2008. Served with South African airline Safair in 2009 and was scrapped thereafter.
I-DATE: Originally delivered to ATI (Aero Trasporti Italiani, Alitalia domestic subsidiary) it was transferred to the mainline fleet on October 30 1994 when ATI was shut down. Retired on October 20th 2012, it went to Bank of Utah until 2014. Sold to Sri-Lankan airline FitsAir is still in active service.
I-DAWF: In service between July 24 1984 and January 12 2009. It was purchsed by Safair but never taken. Possibly the airframe is still in storage at Upington, Sudafrica.
I-DATM: In service between February 28 1995 and October 23 2012. Sold to Bulgarian Air Charter in 2013, the plane is still in active service.