Gaming/rendering/recording PC

Hey, guys I just like to get your opinion on what a good gaming/rendering build would be for about $500 (I'd be willing to go to $600, but I'd rather not). I'd be playing games like Crysis 3, Battlefield 3/4, Call of Duty, Metro 2033/LL, etc.. I'd prefer to run ultra graphics on all of these at about 60fps w/o fraps.
Things I don't need: monitor, os, mouse, keyboard,case
My idea of a decent build for this would be a 970 mobo, 8gb ddr3 1600 ram, fx-6300/ 6100/ 6300 (which would be better), radeon 78502gb , 500watt psu, 1tb 7200. Also what would this run with fraps. Thanks!
 
I was of the belief that Intel demolishes AMD in rendering, due to hyperthreading and general pimpness. $500 is very very low for such a build.
 
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