God, there are so many, but I'll try to narrow it down to about ten:
Super Mario Bros. (NES)
Golden Axe (Sega Genesis)
Chrono Trigger (SNES)
Super Street Fighter II: Turbo (SNES)
NBA JAM (Sega Genesis)
Pokemon Red/Blue (Gameboy)
GoldenEye 007 (N64)
Super Smash Bros. (N64)
Shenmue (Dreamcast)
Grand Theft Auto III (PS2)
A pretty typical list, I was a teenager in the real beginning stages of the multiplayer videogame age (N64 dominated my middle school years).
GETTIN' CHRONOCRUNK