GameCube supports 480p progressive and widescreen.
But to utilize this feature, software(game) has to support it, too.
You need a component cable for 480p progressive mode. (UK version of GameCube won't handle progressive.)
I have....
Super Monkey Ball,
Smash Bros DX (supports 480p)
Pikmin (support 480p)
Star Wars Rogue Squadron II (supports 480p)
Virtua Striker 3 (supports 480p)
Biohazard
Only those two don't support 480p.
P.S.
The difference between progressive mode and interlaced mode is just amazing. Whole different graphics.