Which build do you recommend?

Solution
I would go with the AMD based build, you price per performance will be much better as you can overclock the AMD build where you can't with the Intel based build. I also changed out your PSU for a better quality one, the CX series is know for having bad capacitors.

PCPartPicker part list / Price breakdown by merchant

CPU: AMD FX-8350 4.0GHz 8-Core Processor ($174.98 @ OutletPC)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler ($22.99 @ Micro Center)
Motherboard: Gigabyte GA-970A-UD3P ATX AM3+ Motherboard ($69.99 @ Newegg)
Memory: Crucial Ballistix Sport 16GB (2 x 8GB) DDR3-1600 Memory ($149.99 @ Newegg)
Storage: Sandisk...

Darth Rache

Honorable
Jan 8, 2014
626
0
11,160
I would go with the AMD based build, you price per performance will be much better as you can overclock the AMD build where you can't with the Intel based build. I also changed out your PSU for a better quality one, the CX series is know for having bad capacitors.

PCPartPicker part list / Price breakdown by merchant

CPU: AMD FX-8350 4.0GHz 8-Core Processor ($174.98 @ OutletPC)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler ($22.99 @ Micro Center)
Motherboard: Gigabyte GA-970A-UD3P ATX AM3+ Motherboard ($69.99 @ Newegg)
Memory: Crucial Ballistix Sport 16GB (2 x 8GB) DDR3-1600 Memory ($149.99 @ Newegg)
Storage: Sandisk Solid State Drive 128GB 2.5" Solid State Drive ($69.06 @ OutletPC)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive ($50.40 @ Amazon)
Video Card: Sapphire Radeon R9 280 3GB Dual-X Video Card ($199.99 @ Newegg)
Case: Thermaltake VL80001W2Z ATX Mid Tower Case ($27.99 @ Micro Center)
Power Supply: XFX ProSeries 850W 80+ Gold Certified Fully-Modular ATX Power Supply ($99.99 @ Newegg)
Optical Drive: Asus DRW-24F1ST DVD/CD Writer ($14.99 @ Newegg)
Monitor: Asus VS228H-P 21.5" Monitor ($99.99)
Case Fan: Cooler Master SickleFlow 69.7 CFM 120mm Fan ($3.99 @ Newegg)
Case Fan: Cooler Master SickleFlow 69.7 CFM 120mm Fan ($3.99 @ Newegg)
Case Fan: Cooler Master SickleFlow 69.7 CFM 120mm Fan ($3.99 @ Newegg)
Case Fan: Cooler Master SickleFlow 69.7 CFM 120mm Fan ($3.99 @ Newegg)
Fan Controller: Thermaltake AC-001-BN1NAN-A1 Fan Controller ($15.93 @ NCIX US)
Total: $1012.25
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2014-07-28 14:20 EDT-0400
 
Solution

Turb0Yoda

Expert
Ambassador
I'd go with the Intel build, however, some things need to be changed.
-That Power Supply may be good. Only a few of the higher end corsairs are good. The CX series use bad capacitors
, which means flames and explosions. Seasonic/xfx, Silverstone are the best Power Supplies you can get.
-The 87 series chipset has been replaced by the 97 series.
-Generic Monitor, will possible have dead pixels.
-Get a case with a Built in Fan Controller. The Thermaltake one's are not good.

Here is a revised Build:

PCPartPicker part list: http://pcpartpicker.com/p/8TfbTW
Price breakdown by merchant: http://pcpartpicker.com/p/8TfbTW/by_merchant/

CPU: Intel Core i7-4790 3.6GHz Quad-Core Processor ($314.99 @ TigerDirect)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler ($25.38 @ Micro Center)
Motherboard: Gigabyte GA-H97-GAMING 3 ATX LGA1150 Motherboard ($111.49 @ Newegg)
Memory: G.Skill Ripjaws X Series 16GB (2 x 8GB) DDR3-1600 Memory ($172.78 @ Newegg)
Storage: Samsung 840 EVO 120GB 2.5" Solid State Drive ($79.99)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($59.38 @ NCIX US)
Video Card: Sapphire Radeon R9 280 3GB Dual-X Video Card ($217.58 @ Newegg)
Case: NZXT Phantom (Black) ATX Full Tower Case ($119.99 @ Best Buy)
Power Supply: XFX ProSeries 750W 80+ Gold Certified Fully-Modular ATX Power Supply ($104.18 @ NCIX US)
Optical Drive: Samsung SH-224DB/BEBE DVD/CD Writer ($16.18 @ NCIX US)
Total: $1221.94
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2014-07-28 14:25 EDT-0400
 
What is this build for?

There are a lot of unnecessary things in both builds you suggested, OP.

AMD Build (Assuming gaming build):

You're most likely going to be overclocking with this build anyways. Get a fx 8320, its just an underclocked fx8350. Overclock that.

Not sure why you need the 16gb of RAM, but I'm going to leave it for now, purpose is specified.

SSD Seemed overpriced when the same one could be found cheaper.

GPU, stronger gpu (assuming build is for gaming) for the same budget.

PSU, Supernova NEX is a better unit than the CX series.

PCPartPicker part list / Price breakdown by merchant

CPU: AMD FX-8320 3.5GHz 8-Core Processor ($149.98 @ OutletPC)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler ($29.99 @ Amazon)
Motherboard: Gigabyte GA-970A-UD3P ATX AM3+ Motherboard ($79.99 @ Newegg)
Memory: G.Skill Ares Series 16GB (2 x 8GB) DDR3-1600 Memory ($142.99 @ Amazon)
Storage: Sandisk Ultra Plus 128GB 2.5" Solid State Drive ($59.99 @ Amazon)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive ($50.40 @ Amazon)
Video Card: Sapphire Radeon R9 280X 3GB Dual-X Video Card ($269.99 @ Newegg)
Case: Thermaltake VL80001W2Z ATX Mid Tower Case ($37.99 @ Micro Center)
Power Supply: EVGA SuperNOVA NEX 750W 80+ Bronze Certified Semi-Modular ATX Power Supply ($74.99 @ NCIX US)
Optical Drive: Asus DRW-24F1ST DVD/CD Writer ($14.99 @ Newegg)
Monitor: Asus VS228H-P 21.5" Monitor ($99.99)
Total: $1011.29

Intel Build:

I just reduced the price of it for the most part.

PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i7-4770 3.4GHz Quad-Core Processor ($253.99)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler ($29.99 @ Amazon)
Motherboard: MSI B85M-P33 Micro ATX LGA1150 Motherboard ($49.99 @ Newegg)
Memory: G.Skill Ares Series 16GB (2 x 8GB) DDR3-1600 Memory ($142.99 @ Amazon)
Storage: Sandisk Ultra Plus 128GB 2.5" Solid State Drive ($59.99 @ Amazon)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($54.99 @ NCIX US)
Video Card: Sapphire Radeon R9 280 3GB Dual-X Video Card ($219.99 @ Newegg)
Case: Cooler Master N400 ATX Mid Tower Case ($27.99)
Power Supply: EVGA SuperNOVA NEX 750W 80+ Bronze Certified Semi-Modular ATX Power Supply ($74.99 @ NCIX US)
Optical Drive: Samsung SH-224DB/BEBE DVD/CD Writer ($14.99 @ NCIX US)
Monitor: AOC i2267Fw 60Hz 22.0" Monitor ($99.99)
Total: $1029.89
 
Depending on the game, most cases, it's more than 1-3fps. Maybe if you're running 1440p, it'll be that number. @1080p, it'll be more around 10fps difference, which I'd say is a decent margin. The r9 280 is basically the hd 7950 and the r9 280x is the 7970 ghz edition. The margin was ~10fps in most games.