I need a good Gaming computer?

I Like playing minecraft, and league of ledgends, also call of duty. I'm also an editor, I get paid to edit. I need a computer that has a really good processor, and video card. One that will run over 40FPS on minecraft, but I don't have much money, I'd like it to be under $600. I found the CyberpowerPC Gamer Ultra GUA880 Desktop for $500, is this a good one for what I want or is there something better? Please leave comments and re commendations

With your budget I would get an Asus motherboard with the 990 chipset, an AMD FX-8320 processor, 8 gig of RAM (maybe 16), and a decent video card - something around $200-$250 using the chart on the bottom of this page:
http://community.futuremark.com/hardware/gpu/AMD+Radeon+HD+7870/review
Toss in a couple of TBs of disk space, perhaps an SSD for booting, and an 80+Bronze certified power supply… An a blu-ray drive. Should take you close to your $600 price and give you a better system than the one your are proposing above.

Personally, I would not consider a Gateway unless it were free. Many years ago Gateways were great machines. Now they are made by Acer.

Gateway DX4380-UR23 get this, it will not dissapoint. I have it and can run minecraft on 70+Fps and call of duty modern warfare 3 runs better than it does on console
It also runs planetside 2 decently