CatLands

The islands came apart, and the cats are waiting for someone to fix them. That someone is you. Move blocks until the landscape lines up again. And when the ordinary levels stop being enough, there are about a dozen modifiers in reserve. Levels reward you with tiles, and out of them grows a village of your own, and once there are houses, the cats move in too. Solving is better with company: bring your friends, or open the lobby to anyone and see who turns up. And that's not all. A campaign and an infinite mode after it, quests from your cats, a cat of your own you can paint. Or come down and see the village with your own eyes.