You've stated the primary advantages of each console quite well, it all really boils down to what games you want to play. Take a look at each's catalogue and see which games suit you best personally.
Were I in your shoes I'd be going for the Xbox as I find it quite hard to play the PS2 anymore because the graphics hurt my eyes, though a game like Jak 3 or MGS3 are exceptions. If the GameCube were on the cards I'd be choosing that over any other system, it's catalogue is relatively small but it's great titles are quality titles, and quite frankly are some of the best games ever made (ie. Metroid Prime 1 + 2, Zelda: Windwaker, Paper Mario 2...[co-incidentally these are first party titles too]).
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