I got a GameCube a year ago (on its launch) and I have nearly 40 games for it!
Games in my collection include Super Smash Bros. Melee, TimeSplitters 2, Metroid Prime, Resident Evil, Eternal Darkness, The Legend of Zelda: The Wind Waker, Super Mario Sunshine, Ikaruga, Super Monkey Ball 2, Beach Spikers, Skies of Arcadia Legends and Rogue Leader.
In my opinion, these are all great games and just have that fun factor that you can't argue with. They can be played by people of all ages, and kids will have difficulty playing them, despite any coloured visuals.
Get back you b*st*rd, I'll break yer legs!