There's the big Nintendo franchises, Mario, Zelda, Metroid. If you like beat em ups, Double Dragon, TMNT II The Arcade, River City Ransom. If you like RPGs, Final Fantasy, Dragon Warrior. Action platformer (with shooting), Contra, Super C, Mega Man franchise, Ghosts N Goblins. Action platformers (no shooting) Castlevania franchise, Ninja Gaiden franchise. For Puzzlers, Tetris, Dr Mario. For racing, RC Pro AM, Excitebike. Mike Tyson's Punchout.
Those are some of the highlights at least.