The tilted picture post made me laugh. Best post of the year! No problems with the N64 controller. Still has the best placed trigger button (Z-button) of any controller.

As for the actual topic, here are some of my favorites:

WWF No Mercy: still the best wrestling game I've played (better than Virtual Pro Wrestling 2)
Dr. Mario 64: I'm pretty sure new version have 4-player, but still a great time with friends
Conker's Bad Fur Day: behind the over-focus on the "adult" content is a really solid platformer
Pokemon Snap: I'm not a big fan of Pokemon, but this game is all around great
Bomberman 64: enjoyed the single-player and actually prefer the multi-player over traditional Bomberman

Of course there is also Super Mario 64, Goldeneye, Zelda Ocarina of Time, and others already mentioned.