Zeldas (pretty much all of them, but especially OoT, LttP and LBW)
Donkey Kong Country (all of them including the new ones, but DKC2 is by far my favourite)
Super Mario World (I like most 2D Marios aswell, but this one is my favourite... 3D Land is pretty neat too; basicly I just mainly like there to be an exit/goal in the stage rather than an objective/mission)
Lylat Wars (probably the Nintento game I spent the most time playing; whenever I was bored I'd play it and see what score I could get)
Golden Eye (still the only FPS I ever managed to get into)
Mystical Ninja Starring Goemon (I just love the atmosphere, music, humour, characters, etc)
Smash Bros and Mario Karts (all of them... the 3DS games of both of these franchise might be my favourite ones, although MK64 and SSBM are up there aswell).
I could also list other games like the first 6 FFs, Tetris, etc, but those barely cont as Nintendo games nowadays.