Very funky game from Square Enix for Arcade, with full name Chousoku Henkei Gyrozetter (超速変形ジャイロゼッター ).
It is specially equipped with unique controls. At first, you control a car using the steering wheel racing through a course. After finishing the course, your car can transform to a robot to engage in a turn-based fighting with an opponent. To transform into a robot, you can move the steering wheel which will trigger the machine to pull out some extra controllers, which is pretty cool. I hope they will make these machines available overseas too.
An anime based on this game is also being produced.
Some video footages :
2. Someone Trying Out the Machine
(Skip to 2:50 to see the transformation)
3. Actual Gameplay