While tons of people have mentioned Star Fox, Super Mario Kart, Super Metroid, Final Fantasy VI, Earthbound, Zombies Ate My Neighbors, Chrono Trigger, and Donkey Kong Country, Super Mario RPG, I will try to submit some other titles, as you were asking for games required to be literate.
1) Street Fighter 2. Guile's theme goes with everything.
2) Final Fantasy 2/IV. With far more translation errors than 3/VI, the game is still absolutely classic, with emotion and beautiful music and plot twists.
3) Mortal Kombat 1/2. The first is a necessity, but the second gives the true spread of characters.
4) Secret of Evermore. Not necessary for literacy but one of my absolute favorites
5) Star Fox. DOABARRELROLL!!
Honorable Mentions: Final Fight, Ogre Battle: March of the Black Queen, Disney's Aladdin, Final Fantasy: Mystic Quest, Super Star Wars (all 3), Illusion of Gaia, Super Bomberman, Castlevania (pick any Snes number, but I loved IV), Act Raiser