If I were to play a game on the PS2 it would be Katamari Damacy. Weird, wacky, totaly different than any other game out there. Plus if you go here you can build a paper version of its main character. How cool is that? (A while ago I reported on the PePaKuRa Designer software used to make some of these)
Lump soul (Oji) papercraft
For more paper projects (build the robot, it looks neat):
Funny character coffee papercraft