In Push me you have to push the red cube off the screen. It's a kind of sliding puzzle, where you have to move the green rectangles in order to make space and let the red cube escape. In each level the exit's in a different place. You can't push the red cube directly: you can only do this indirectly via the green rectangles. Gravity can lend you a hand here as well! Horizontal rectangles can only move horizontally, vertical rectangles only move vertically.
Use the mouse to play this mind game.