Please review the forum rules and avoid topics related to - potentially - piracy. That would include discussion of emulators. I'm leaving this open so suggestions can be made to the OP.
For clarity's sake, it is
perfectly legal to use an emulator (or even ROMs) if you have the official game. I emulate PS2 games on my PC too, but I use the original DVD, which means it's completely legal. Just so there's no misunderstandings

For SNES, I'll recommend the obvious ones:
Final Fantasy VI - turn-based jRPG
Terranigma - action RPG
Secret of Evermore and Secret of ManaSuper Metroid (Y U no been mentioned yet by more than one person?!)
Super Mario Kart, it's great fun!
Chrono Trigger, obviously
Legend of Zelda: A Link to the Past, obviously
U.N. Squadron is also a fun side-scrolling shooter that didn't get the recognition it deserved.
I would love to play the Fire Emblem series, see what they're like, but they were only released in japanese, AFAIK
