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Thank you for contacting the Intel community.
It depends on the game you want to play; I can recommend the 6th generation processor, you can check the specifications for this processor here:
Also, you can see the system requirements for those games when you are going to download them.
Intel processors are good for gaming. Take a shot on this link http://www.techomag.com/playstation-now-launches-pc/ and see that even playstation games which can be installed on PC can run on intel processors.