If OC'ing isn't a concern for you, I have an optional build under $1150 budget:
PCPartPicker part list /
Price breakdown by merchant /
Benchmarks
CPU: Intel Core i5-4440 3.1GHz Quad-Core Processor ($177.00 @ Amazon)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler ($29.98 @ Amazon)
Motherboard: ASRock Z87 Pro3 ATX LGA1150 Motherboard ($89.99 @ Newegg)
Memory: G.Skill Ares Series 8GB (2 x 4GB) DDR3-1600 Memory ($68.99 @ Newegg)
Storage: Samsung 840 EVO 120GB 2.5" Solid State Disk ($84.99 @ Newegg)
Storage: Seagate Barracuda 2TB 3.5" 7200RPM Internal Hard Drive ($83.98 @ Amazon)
Video Card: Asus GeForce GTX 770 2GB DirectCU II Video Card ($319.99 @ NCIX US)
Case: Corsair 200R ATX Mid Tower Case ($59.99 @ Amazon)
Power Supply: EVGA 500W 80+ Bronze Certified ATX Power Supply ($38.99 @ 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: $1058.88
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2014-05-04 17:21 EDT-0400)
* CPU will perform close to 4670k at stock settings.
* Mobo should have what most people want and can OC if needed.
* RAM has low profile heat spreaders and runs at stock voltage of 1.5v and at CAS 9 timings (also cheaper).
* I kept your 2 HD's.
* Upgraded the GPU to GTX 770. Another option is R9 280x, if you want another option.
* Changed PSU. 500w Bronze rated PSU is plenty for this build. If you want other options, than chose those. Your PSU is fine, just a bit more $.
* Picked OEM Windows 8.1.
It's up to you with what you want to buy. I'm just offering a different perspective and one that is a bit cheaper and will perform better in gaming.