My first gaming build

This build should give you pretty much everything that yours would, for a lower cost:

PCPartPicker part list / Price breakdown by merchant / Benchmarks

CPU: Intel Core i5-3570K 3.4GHz Quad-Core Processor ($209.99 @ Amazon)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler ($27.98 @ Outlet PC)
Motherboard: ASRock Z77 Extreme4 ATX LGA1155 Motherboard ($134.99 @ Amazon)
Memory: Corsair Vengeance 8GB (2 x 4GB) DDR3-1600 Memory ($67.16 @ NCIX US)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($64.99 @ NCIX US)
Video Card: Sapphire Radeon HD 7970 GHz Edition 3GB Video Card ($433.98 @ SuperBiiz)
Case: NZXT Phantom 410 (Black) ATX Mid Tower Case ($84.55 @ Amazon)
Power Supply: Corsair Enthusiast 850W 80 PLUS Bronze Certified ATX12V / EPS12V Power Supply ($94.98 @ NCIX US)
Optical Drive: LG GH24NS95 DVD/CD Writer ($17.98 @ Outlet PC)
Total: $1136.60
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2013-05-09 17:10 EDT-0400)

I tried to fit in a second 7970, but I couldn't manage to do it while staying near to your price. I did, however, leave the system with the capacity to have another added at a later date.

Edit: Unless, that is, you plan on heavy CPU overclocking. I admit that I leaped the the assumption that you were overbuying on the CPU cooler.
 
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