This build will play minecraft at 60fps with 50 mods I tested it once. Also league of legends at 60fps 720p or 1080p. Be sure to select best answer as it helps other people.
PCPartPicker part list:
http://pcpartpicker.com/p/2F3cGX
Price breakdown by merchant: http://pcpartpicker.com/p/2F3cGX/by_merchant/
CPU: AMD Athlon X4 760K 3.8GHz Quad-Core Processor ($89.99 @ Newegg)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler ($34.99 @ Newegg)
Motherboard: MSI A88XM-E35 Micro ATX FM2+ Motherboard ($69.38 @ Newegg)
Memory: Corsair Vengeance 8GB (1 x 8GB) DDR3-1866 Memory ($74.99 @ Newegg)
Storage: Seagate Barracuda 500GB 3.5" 7200RPM Internal Hard Drive ($48.45 @ Amazon)
Video Card: EVGA GeForce GTX 660 2GB Video Card ($154.99 @ NCIX US)
Case: Rosewill Line-M MicroATX Mini Tower Case ($34.79 @ Amazon)
Power Supply: Corsair CX 430W 80+ Bronze Certified Semi-Modular ATX Power Supply ($39.99 @ Micro Center)
Optical Drive: Samsung SH-224DB/BEBE DVD/CD Writer ($15.98 @ OutletPC)
Total: $538.55
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2014-09-07 13:52 EDT-0400