PCPartPicker part list:
http://pcpartpicker.com/p/35IDp
Price breakdown by merchant: http://pcpartpicker.com/p/35IDp/by_merchant/
Benchmarks: http://pcpartpicker.com/p/35IDp/benchmarks/
CPU: Intel Core i5-4670 3.4GHz Quad-Core Processor ($207.97 @ OutletPC)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler ($30.98 @ Newegg)
Motherboard: Gigabyte GA-H87-D3H ATX LGA1150 Motherboard ($94.24 @ Amazon)
Memory: GeIL EVO VELOCE 8GB (2 x 4GB) DDR3-1866 Memory ($76.99 @ Newegg)
Storage: Crucial M500 240GB 2.5" Solid State Disk ($126.99 @ Mac Mall)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($59.94 @ Amazon)
Video Card: Asus GeForce GTX 770 2GB Video Card ($328.98 @ SuperBiiz)
Case: Corsair 500R White ATX Mid Tower Case ($89.99 @ Newegg)
Power Supply: EVGA SuperNOVA NEX750B BRONZE 750W 80+ Bronze Certified Semi-Modular ATX Power Supply ($59.99 @ NCIX US)
Optical Drive: Samsung SH-224DB/BEBE DVD/CD Writer ($14.99 @ Newegg)
Operating System: Microsoft Windows 8.1 (OEM) (64-bit) ($89.99 @ NCIX US)
Total: $1181.05
Well under budget and everything you need. Also gave you a large SSD so you can have you OS and games on it, as games will benefit from being on the SSD, and usually you want all programs on your SSD and then music and videos on the HDD.