As I said before, Fifa (and other sports games) is not a game that requires a lot of graphics power to run. Medal of Honor, and Call of Duty (and other first person shooters) require the GPU to work a lot harder, thus drawing more power, therefore generating more heat. And if that heat cannot escape because of dust buildup, you end up with the situation you're in... with the system shutting itself off after 10 minutes.
The version of Windows (32 or 64 bit, or legit or not) does not make any difference.