This is what I managed to put together:
PCPartPicker part list:
http://pcpartpicker.com/p/3lqMa
Price breakdown by merchant: http://pcpartpicker.com/p/3lqMa/by_merchant/
Benchmarks: http://pcpartpicker.com/p/3lqMa/benchmarks/
CPU: Intel Core i5-4670 3.4GHz Quad-Core Processor ($219.98 @ SuperBiiz)
Motherboard: ASRock B85 Pro4 ATX LGA1150 Motherboard ($64.99 @ Newegg)
Memory: Corsair Vengeance 8GB (2 x 4GB) DDR3-1600 Memory ($69.99 @ Newegg)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($57.99 @ NCIX US)
Video Card: Gigabyte GeForce GTX 760 2GB Video Card ($249.99 @ NCIX US)
Case: Antec Three Hundred Two ATX Mid Tower Case ($64.99 @ Amazon)
Power Supply: Corsair CX 750W 80+ Bronze Certified Semi-Modular ATX Power Supply ($77.99 @ Micro Center)
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)
Total: $910.88
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2014-04-03 16:05 EDT-0400)
As you can see, even with Windows 7 Home Premium, it comes nowhere near your budget. Let us know if you'd prefer a more powerful graphics card, SSD's, or extra HDD's. If you'd like to go with multitasking and multiple monitors, you may as well go with 16GB of RAM and get a GTX 770.