I'm going to have to cast my vote for the N64.
Awesome memorable games, the last mainstream cartridge based home console, extremely comfortable controller, best of all, Mario Kart 64 mofos!!
I would cast my vote for the SNES, if not for the fact us Europeans got screwed out of all the awesome JRPGs it had.
Favourite handheld by them has to be the Game Boy Advance. Had an amazing library of games, including remakes of Pokémon Red/Blue, as well as Final Fantasy 1-6 (minus 3). The SP also brought in backlit screens and in-built rechargable batteries.