To coincide with the movie release, Gameloft has released a free to play iOS and Android app, Iron Man 3 - The Official Game. It's an endless runner game, like Temple Run 2 or the amazing 2D Canabalt.
Iron Man 3 - The Official Game has optional in game purchases, and takes you through New York, Malibu and China, fighting the villains Crimson Dynamo, Ezekiel Stane, Living Laser and M.O.D.O.K. The game includes up to 18 Iron Man suits you can develop, plus various upgrades.
The main draw for Iron Man 3 - The Official Game has to be the graphics, which are really impressive and fast moving. It has swipe and tilt controls, and if you have played Temple Run, you'll have no trouble getting into this.