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[–] mcseanerson ago 

Not a whole lot. As others have pointed out though it can probably play some Blizzard games. I used to play the hell out of Diablo 3 on my macbook air when I was killing time. Also depends what resolution you play your games at. My native resolution on the macbook air was 1366x768 so it wasn't very taxing. I could also play Dirt 3 and wasn't too bad at Battlefield 3. Granted you will need to turn all the settings down.

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[–] erki ago 

Since you have a touch screen you should seriously consider Civilization 5 (and possibly Civilisation: Beyond Earth).

Both games run well on my Surface Pro 3 which seems to have specs comparable to yours.

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[–] SkepticalMartian ago  (edited ago)

I'd go for turn based games. Pick up XCom: Enemy Within (highly recommended!), a Galactic Civilizations title, or FTL. Games like these will probably have the best chance of running well without much compromise (if any).

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[–] stinkytaco ago 

The original Ace of spades used the 1990's voxlap engine which did 100% software rendering. http://buildandshoot.com/

They call it build and shoot now. It will run on your grandma's toaster, and still is verry fun. lots of players too!

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[–] null_error ago 

You could play Dwarf Fortress