For that budget AMD is the better choice. They are a very viable option on a tight budget.
Here :
PCPartPicker part list:
http://pcpartpicker.com/p/2kPvh
Price breakdown by merchant: http://pcpartpicker.com/p/2kPvh/by_merchant/
Benchmarks: http://pcpartpicker.com/p/2kPvh/benchmarks/
CPU: AMD FX-8320 3.5GHz 8-Core Processor ($139.99 @ Amazon)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler ($29.98 @ OutletPC)
Motherboard: Asus M5A97 LE R2.0 ATX AM3+ Motherboard ($64.99 @ Newegg)
Memory: G.Skill Sniper 8GB (2 x 4GB) DDR3-1600 Memory ($52.99 @ Newegg)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive ($59.98 @ OutletPC)
Video Card: Asus Radeon R9 280X 3GB Video Card ($319.99 @ B&H)
Case: Zalman Z11 Plus ATX Mid Tower Case ($39.99 @ Microcenter)
Power Supply: XFX 550W 80+ Bronze Certified ATX Power Supply ($54.99 @ NCIX US)
Optical Drive: Lite-On iHAS124-04 DVD/CD Writer ($14.99 @ Newegg)
Total: $777.89
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2013-12-15 16:09 EST-0500)