First budget gaming pc build

Solution
I agree with going for the 850 SSDs, the 3D nand looks great, though the 840 evo 250gb is at a pretty attractive price point right now. Anyways.

If you want to stick with AMD I would suggest this:
PCPartPicker part list / Price breakdown by merchant

CPU: AMD FX-8320 3.5GHz 8-Core Processor ($135.98 @ OutletPC)
Motherboard: ASRock 970 EXTREME4 ATX AM3+ Motherboard ($84.49 @ Newegg)
Memory: G.Skill Sniper Series 8GB (2 x 4GB) DDR3-2133 Memory ($59.99 @ Newegg)
Storage: Samsung 850 EVO-Series 120GB 2.5" Solid State Drive ($89.99 @ Amazon)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive ($52.49 @ OutletPC)
Video Card:...

Phil923

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I agree with going for the 850 SSDs, the 3D nand looks great, though the 840 evo 250gb is at a pretty attractive price point right now. Anyways.

If you want to stick with AMD I would suggest this:
PCPartPicker part list / Price breakdown by merchant

CPU: AMD FX-8320 3.5GHz 8-Core Processor ($135.98 @ OutletPC)
Motherboard: ASRock 970 EXTREME4 ATX AM3+ Motherboard ($84.49 @ Newegg)
Memory: G.Skill Sniper Series 8GB (2 x 4GB) DDR3-2133 Memory ($59.99 @ Newegg)
Storage: Samsung 850 EVO-Series 120GB 2.5" Solid State Drive ($89.99 @ Amazon)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive ($52.49 @ OutletPC)
Video Card: Asus GeForce GTX 970 4GB STRIX Video Card ($348.99 @ NCIX US)
Case: NZXT S340 (Black) ATX Mid Tower Case ($69.75 @ Directron)
Power Supply: EVGA 750W 80+ Bronze Certified Semi-Modular ATX Power Supply ($49.99 @ NCIX US)
Total: $891.67
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2014-12-17 01:47 EST-0500

I would still prefer Intel though, even though this is a locked i5, it will still outperform the AMD cpus in most things. However, this one is ~$50 over budget.
PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i5-4460 3.2GHz Quad-Core Processor ($174.88 @ OutletPC)
Motherboard: Asus H97-PLUS ATX LGA1150 Motherboard ($101.20 @ NCIX US)
Memory: G.Skill Sniper Series 8GB (2 x 4GB) DDR3-2133 Memory ($59.99 @ Newegg)
Storage: Samsung 850 EVO-Series 120GB 2.5" Solid State Drive ($89.99 @ Amazon)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive ($52.49 @ OutletPC)
Video Card: Asus GeForce GTX 970 4GB STRIX Video Card ($348.99 @ NCIX US)
Case: NZXT S340 (Black) ATX Mid Tower Case ($69.75 @ Directron)
Power Supply: EVGA 750W 80+ Bronze Certified Semi-Modular ATX Power Supply ($49.99 @ NCIX US)
Total: $947.28
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2014-12-17 01:51 EST-0500
 
Solution
The above builds are good, but this one has the most bang for your buck at a bit over 850$ (OP's assumed budget as his build is around 850$):
PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i5-4590 3.3GHz Quad-Core Processor ($159.99 @ Micro Center)
Motherboard: Asus H81M-D PLUS Micro ATX LGA1150 Motherboard ($44.49 @ Newegg)
Memory: Mushkin Redline 8GB (2 x 4GB) DDR3-1866 Memory ($63.98 @ Newegg)
Storage: Samsung 840 EVO 250GB 2.5" Solid State Drive ($119.99 @ Best Buy)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($52.99 @ Amazon)
Video Card: Gigabyte GeForce GTX 970 4GB WINDFORCE Video Card ($359.99 @ NCIX US)
Case: Thermaltake VL80001W2Z ATX Mid Tower Case ($24.99 @ Micro Center)
Power Supply: EVGA 750W 80+ Bronze Certified Semi-Modular ATX Power Supply ($49.99 @ NCIX US)
Total: $876.41
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2014-12-17 16:35 EST-0500