Super Street Fighter II
That game was all the rage when I was 9 and the game we were all obsessed about. Since I also didn't have a SNES myself, that's what we mostly played at friends places.
Illusion of Time was also neat, we played that when staying at a friends house for a weekend.
Oh, and F-Zero. That game set the standard for racing games and I still play pretty much only racing games in which the cars have no wheels.