Gamecube! Including the handhelds it might still be Gamecube, DS would be close though.
Gamecube had great games I love, Smash Football, Smash Bros Melee, Super Mario Sunshine, Mario Party 5/6, Mario Kart Double Dash. It also had fantastic third party support with Need for Speed, Burnout, SSX, Sims, Simpsons Hit & Run!
Gamecube has the most games I care about.