Even if you remove Mario (and since I don't care about Mario Kart, more the power for removing it too!), that still leaves F-Zero, Zelda (yep, even if I don't agree with that Wind Waker's notion, here comes Twilight Princess saving the day anyway!), Fire Emblem and Animal Crossing, not to mention Super Smash Bros Melee, which I forgot.
Gamecube's far from having the worst of Nintendo's series.
Well, if you get to remove Mario Kart cos you don't care about it, then I'm removing Animal Crossing, Melee, and Fire Emblem. :P
I don't agree with amp316 that GCN had the worst of all Nintendo series, (Metroid Prime, F Zero GX, and Twilight Princess were great) but I'd definitely say GCN has the weakest first party lineup of any Nintendo console as it has the worst of Zelda, 3D Mario, Starfox, and Mario Kart.