Will this build run games like Assassin's Creed IV, Far Cry 3, Battlefield 4 with good fps at 1366x768?

[Pyrocom]

http://pcpartpicker.com/p/yFy26h

My budget is around $650-700.

 

[MeteorsRaining]

Yes it can. Just change the PSU to a better one and add a CPU cooler:

PCPartPicker part list / Price breakdown by merchant

CPU: AMD FX-6300 3.5GHz 6-Core Processor ($109.98 @ OutletPC)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler ($29.98 @ OutletPC)
Motherboard: Asus M5A97 R2.0 ATX AM3+ Motherboard ($89.98 @ OutletPC)
Memory: G.Skill Ripjaws X Series 8GB (2 x 4GB) DDR3-1600 Memory ($79.98 @ OutletPC)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive ($53.98 @ OutletPC)
Video Card: MSI Radeon R9 270X 2GB TWIN FROZR Video Card ($174.99 @ Newegg)
Case: Corsair 200R ATX Mid Tower Case ($54.99 @ NCIX US)
Power Supply: EVGA 500W 80+ Bronze Certified ATX Power Supply ($29.99 @ NCIX US)
Optical Drive: LG GH24NSB0 DVD/CD Writer ($13.99 @ Newegg)
Wireless Network Adapter: Rosewill RNX-N150UBE 802.11b/g/n USB 2.0 Wi-Fi Adapter ($11.99 @ Amazon)
Total: $649.85
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2014-08-26 09:00 EDT-0400