Decently Priced Gaming Rig

Hello Everyone on tek syndicate since you all now a bunch about computers and im still learning I would think you guys would be the best to ask. I am looking a cheep build that could play games pretty well perhaps games like BF3 , Far cry 3 and BoarderLands 2 games like that on high for more that 30 (30 at min) also this is for youtube some also a AMD proccesor (not realy intel because they tend to cost more) that could video render like for 10-20 minutes on a youtube HD format to render like a 10 min vid (but it cant take like more than one hour to render a video thats just 10 minutes) also I will be using the antec 300 case. Also If you now a good powersupply that'd be great! I also will need a fairly priced mother board at the max this build can cost like 700-750 but I would prefer somwhere around the 600s for price. And maybe a good after market fan (optional).

http://pcpartpicker.com/p/sp93 I use the antec three hundred two because I like it better, and its a very similar price, but if you don't want it for what ever reason, oh well.

The rest of it is pretty much good. Yah...