Billy Hatcher and the Giant Egg

GameCube (2003)

Lights On! I never got very far in the campaign of Billy Hatcher, but I played a lot of the mutliplayer battle mode. You could turn off the time limit, and play sort-of-cooperatively by just hatching eggs and trying to figure out what all the different hats and pets do. Of course, it’s fun to actually battle it out, too.