Here's an intel build closer to the inexpensive part of the budget ($1000):
PCPartPicker part list:
http://pcpartpicker.com/p/3n5Pa
Price breakdown by merchant: http://pcpartpicker.com/p/3n5Pa/by_merchant/
Benchmarks: http://pcpartpicker.com/p/3n5Pa/benchmarks/
CPU: Intel Core i5-4670K 3.4GHz Quad-Core Processor ($227.99 @ NCIX US)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler ($29.98 @ OutletPC)
Motherboard: MSI Z87-G45 Gaming ATX LGA1150 Motherboard ($139.99 @ Amazon)
Memory: G.Skill Ares Series 8GB (2 x 4GB) DDR3-1600 Memory ($63.99 @ Newegg)
Storage: Kingston SSDNow V300 Series 120GB 2.5" Solid State Disk ($67.99 @ Micro Center)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($57.98 @ OutletPC)
Video Card: MSI GeForce GTX 760 2GB Video Card ($229.20 @ Newegg)
Case: Cooler Master HAF 912 ATX Mid Tower Case ($49.99 @ Newegg)
Power Supply: Thermaltake SMART 750W 80+ Bronze Certified ATX Power Supply ($59.99 @ 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) ($89.98 @ OutletPC)
Total: $1037.06
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2014-04-06 15:10 EDT-0400)