Mega Man 2 and 3 stand out in my mind. Revenge of Shinobi, Streets of Rage, Teenage Mutant Ninja Turtles (nes), One Must Fall 2097, Need for Speed 2, and Contra could also hold their own. Jazz Jackrabbit had a decent sound too. Some more recent games like Ballistic for the Ouya game system are making new memories.
Mega Man 2 and 3 have some of the best music of any games before or since. They are also two of the best games ever produced for any system in any era. After 3, the series took on a more generic video gamey kind of sound and really deviated from the rock, funk, metal, jazz and latin influences that made 2 and 3 great. 4 seemed to pick up where the original Mega Man left off musically. Largely boring and video gamey.