Genre: unconventional platformer.
This plucky square has only one goal, to reach the end of the stage. Too bad squares don't have legs, I guess you'll have to lend a hand.
Instead of the character jumping and moving, you must use the level itself to get him to the end of the stage. The screen can be shaken, jolted, twisted and spun in order to manipulate the square and objects within the level. Physics applies to everything so changing the orientation of the screen would change the relative direction of gravity. Jolting the screen in a direction would transfer momentum to any loose items, causing them to fly in a direction.
There would also be powerups available in some stages. For example, one that morphs the character into a circle to make for easy rollin. These power ups would be colour coded and would also change the colour of your character.
The visual style would be very simple 2d, with flat contrasting shapes and colours
The game could be played with a mouse, controller, motion controls or on mobile devices.
Reference Image: http://charlesgilchrist.com/SGEO/Square/StaticSquare-B.jpg