Kirby's starred in a Puyo Puyo game. Kirby's starred in Breakout-style game. But it wasn't until 1997 that HAL's little puffball of a hero finally got his own puzzle mechanics. (And even then, it's kinda like Game Freak's Yoshi. But only slightly.)
You've got stars, you've got cute animals, and you've gotta line the former up between the latter to throw 'em at King Dedede, whose fist remains a constant threat. With one pound of the screen he can give you more blocks to sift through; pack the center columns to the roof and it's game over. But there are Hamsters to try to help you with that! HAMSTERS.