This is a game I have been working on for 7 years, now it is nearly done. The game is based on a hobby I abandoned a couple of years ago, which is caving. In this game you play a bearded caver who is supposed to rescue trapped, ill- equipped treasure-seekers while finding the actual treasure for the...

Age of Empires II was pretty big for me.

Platformer
Donkey Kong Country 2, Super Mario World, Rayman Origins

RPG
Final Fantasy VII, Super Mario RPG

Action adventure
Zelda Link's Awakening

Racing
Super Mario Kart, Gran Turismo 2

Fighting
Soul Blade, King of Fighters 98

FPS:
Quake II

RTS
Age of Empires, Z, Red Alert 2

Anything composed by David Wise, the DKC2 soundtrack probably being his best work.
I still can't believe music like that can come from a SNES.

Aside from that I think the DKC3 soundtrack (mostly by Eveline Fischer) is underrated.

I recently tried running some SNES emulators on my PSP-3004 to see if this got any better in the last few years. Most games still "run ok" with the frameskip on 1 and without vsync, but not ok enough for me. Still hiccups both in speed and the sound. GBA emulation seems a little better but...