1. Super Metroid - tight controls, perfect nonlinear gameplay, my favorite game of all time.
2. Super Mario World 2: Yoshi's Island - very creative, great graphics, tight controls, just fun to play.
3. The Legend of Zelda: A Link to the Past - originator of the true Zelda formula (taking the best elements of LoZ and AoL and improving on them), great difficulty level.
4. Super Mario RPG: The Legend of the Seven Stars - probably my favorite RPG of all time, since there's technical play involved and it's pretty fast-moving, and also hilarious.
5. Donkey Kong Country 2: Diddy's Kong Quest - peak of the Donkey Kong series, super fun platformer
Honorable mentions: Secret of Mana, Super Mario World, Chrono Trigger, Earthbound, FFIV, FFVI
edit: also, it's Super Famicom (for Family Computer), not Famicon.