First game I can remember emulating was Secret of Mana on the ZSnes emulator. Final Fantasy 3 SNES (yes, I know it's actually 6)... hmm... Romance of the Three Kingdoms 2, came shortly after those.

Monster Rancher Advanced 2 with the first GBA game I ever emulated. Put some many hours into new games on that it's not even funny. I finally did find a physical copy of it, but Keep it put up.