Here are some good ones that are older and lesser known
Mean Streets - (1973) Martin Scorsese film starring Harvey Keitel and Robert De Niro
American Me - (1992) Mexican-American Mafia kingpin played by Edward James Olmos is released from prison
A Bronx Tale - (1993) Robert De Niro and Joe Pesci
Gotti - (1996)HBO Movie that led to the development of the Sopranos
Rounders - (1998) Matt Damon and Ed Norton take on the Russian mafia in poker
Lock Stock and Two Smoking Barrels - (1998) Guy Ritchey directed film based in London.