According to TechCrunch, Apple rejected an iphone app featuring a likeness of President Obama. 

The application was a harmless game that let you select a known U.S. politician (both republicans and democrats) and have him/her jump a virtual trampoline. You could tilt to control movement, use the head to pop some balloons with the White House or the Oval Office in the background, do some acrobatic flips and shake the device to clear the scene.