Made a few changes
CPU - 8320 vs 6300 won't see much (or any) performance difference for gaming, GPU matters alot more so saving some money there
Cooler - You won't need the liquid cooler unless your are O.C. and since you went with a very cheap mobo don't think this is a consideration, so got a good air cooler which should be more then sufficient
Mobo - newer chipset with some good features at a good price
RAM - 1600MHz and checked compatible with Mobo
GPU - best card for the price range (under 200) is the 270X according to Tom's August update (recommended PSU according to this site is 500W so you should be good on PSU https://forum-en.msi.com/faq/article/power-requirements-for-graphics-cards)
Comes in at $30 less then the initial build, and have a link for a cheap SSD if you want to get a boot drive setup (would be a recommendation but would have put me over initial budget)
PCPartPicker part list:
http://pcpartpicker.com/p/YgmtLk
Price breakdown by merchant: http://pcpartpicker.com/p/YgmtLk/by_merchant/
CPU: AMD FX-6300 3.5GHz 6-Core Processor ($109.98 @ OutletPC)
CPU Cooler: Cooler Master Hyper TX3 54.8 CFM Sleeve Bearing CPU Cooler ($16.98 @ Newegg)
Motherboard: Asus M5A97 LE R2.0 ATX AM3+ Motherboard ($69.99 @ Newegg)
Memory: G.Skill NS Series 8GB (2 x 4GB) DDR3-1600 Memory ($78.99 @ Newegg)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($57.23 @ OutletPC)
Video Card: XFX Radeon R9 270X 2GB Double Dissipation Video Card ($159.99 @ Newegg)
Case: Cooler Master Elite 430 ATX Mid Tower Case ($29.99 @ Newegg)
Power Supply: EVGA 500W 80+ Bronze Certified ATX Power Supply ($29.99 @ NCIX US)
Optical Drive: Asus DRW-24B1ST/BLK/B/AS DVD/CD Writer ($19.98 @ OutletPC)
Operating System: Microsoft Windows 7 Home Premium SP1 (OEM) (64-bit) ($84.98 @ OutletPC)
Mouse: Cobra E-3lue Wired Optical Mouse ($11.99 @ Amazon)
Total: $670.09
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2014-08-27 20:43 EDT-0400
http://pcpartpicker.com/part/corsair-internal-hard-drive-cssdf60gbls
Hope it helps