Ooh, PCPartPicker is fun to tool around on (even though I have no idea what I'm doing)
CPU: AMD FX-6350 3.9GHz 6-Core Processor ($124.99 @ Amazon.com)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler ($28.99 @ Micro Center)
Motherboard: Asus Sabertooth 990FX R2.0 ATX AM3+ Motherboard ($162.00 @ Newegg)
Memory: Corsair Vengeance 16GB (2 x 8GB) DDR3-1600 Memory ($159.99 @ Newegg)
Storage: Samsung 840 EVO 250GB 2.5" Solid State Drive ($128.99 @ Amazon.com)
Video Card: EVGA GeForce GTX 770 2GB Superclocked ACX Video Card ($279.99 @ Newegg)
Case: Fractal Design Define R4 w/Window (Black Pearl) ATX Mid Tower Case ($84.99 @ 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) ($89.98 @ OutletPC)
Total Base Price: $1115.89
Total Price After Discounts/Rebates: $1079.90
This would run Dragon Age Inquisition and Assassin's Creed Unity (my two most anticipated games of the year) like a dream!
A friend of mine who builds computers as a hobby (and built my current rig) offered to walk me through upgrading it.
I think a new motherboard, CPU and more RAM would be more than enough 