A Nintendo racing game for the mobile market would be a great idea, after all there was a Game Boy version!
In the game, players control a vehicle with the overall objective of beating the other vehicle, whilst avoiding obstacles. Memorising the game track is important to progression in the game. The F-Zero vehicles are designed to hover and ride at high speeds. There are a number of different vehicles, rated A-E, for the body, boost, grip and weight of the vehicle.
As such, this would be a great mobile game, as races would be conducted in short time frames, which is perfect for mobile gaming. The tilt function of the phone would be used, in a left and right direction to steer the vehicle. Keep your finger on the screen to accelerate and take your finger off to decelerate.