A quick 2 week prototype in Unity - we have taken an XCom style game and allowed the player to choose to roll a number of dice in order to use a bit of strategy where the computer normally picks a random number for hits etc. 

Click on the Run Game button to, erm, run the game!

It'll say Mobiles not supported, but it kinda works on my iPhone - it should work OK on fairly new devices.  It was made for playing on a desktop, so def check it out on PC or Mac.  Or Linux.  But not BeOS. 

NOTE: If you're on Mac, use Chrome - it doesn't run too smoothly on Safari, hopefully Apple and Unity get this fixed in the future!