Adventure: Legend of Zelda, Zelda 2, Rygar, Startropics, The Guardian Legend, Crystalis Platformers: Mario series, Megaman series, Castlevania series, Ninja Gaiden series, Metroid, Contra, Ducktales, Wizard and Warriors, Kirby RPGS: Final Fantasy, Dragon Warrior, King's Quest, Brawler: (not sure if it means fighting games or beat em ups specifically) Punch Out, Double Dragon series and Ninja Turtle series, River City Ransom, Kung Fu Master Shooters: Gradius, Gun nac, Life Force, Jackal, and Zombie Nation for shits and giggles
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DD 2 good. 1 is ok but only one player. 3 is hot garbage.
Little Samson, Bucky O'Hare, Darkwing Duck, Batman, Contra's, Kung Fu. If you really want to torture yourself, Ghosts n Goblins and Battletoads (one player only.) Nightmare of Elms street really isn't that bad nor is Ninja Turtles. Turtles 3 is much good as well.
There a ton of puzzle games too. Tetris, Yoshi, Dr Mario, Palamedus.
edit; Kid Icarus, Blaster Master and River City Ransom.