When you're not in the mood to have your intelligence judged by your puzzle game, try out Shapist, an innovative sliding block puzzle by Ori Takemura and Dmitry Kurilchenko. Shapist won't time you, or give you a score dependent on how many moves you make. It's just you and the puzzle. Think Rush Hour mingled with Tetris but with shapes that do more than just slide, and you'll have the basic idea of what the game is like.
The goal is to completely uncover the lighter grey rectangle by sliding the blocks until none of them are touching it. The rectangle will turn green once you've solved the puzzle; simply click it to continue to the next level. Use your mouse to drag the shapes around, though some can be manipulated in other ways as well. Some will temporarily shrink, while others are able to be rotated, among other things. If you find yourself stuck, or just want to start over, click the yellow arrows in the corner. Unfortunately, you can't skip over a level if you get stuck for too long. Nothing can ruin the zen puzzle state more quickly than getting frustrated with the level you're on and not being able to progress because of it.
Shapist will put your block manipulation abilities to the test, and it's a great new twist on an old puzzle.
NOTE: This game was played and reviewed on the iPad 2. Game was available in the North American market at the time of publication, but may not be available in other territories. Please see individual app market pages for purchasing info.