Hrm... I'd say the N64... as it blew my mind on what could be done in the gaming world:
3D graphics of greatness
Analog controls
4 players at a time
Plus... the armful of games that rocked my socks, such as:
Super Mario 64
Mario Kart 64
Banjo-Kazooie
Ocarina of Time
Super Smash Bros.
...and many more.
(Although I now own more games for Wii than I have for any other console/handheld... so it's up there for sure)