Dose this build look good?

Changed a few things mate , the board is better as is the cooler & the WiFi adapter .
The gigabyte board you selected won't let you use a pci-e WiFi adapter with a 2 slot GPU (the slots are too close together)

I'd spend a little less on a headset & a little more on the monitor too personally.
PCPartPicker part list / Price breakdown by merchant

CPU: AMD FX-6300 3.5GHz 6-Core Processor ($96.99 @ SuperBiiz)
CPU Cooler: RAIJINTEK AIDOS BLACK 48.6 CFM Sleeve Bearing CPU Cooler ($19.99 @ Newegg)
Motherboard: ASRock 970M PRO3 Micro ATX AM3+/AM3 Motherboard ($57.55 @ Newegg)
Memory: Mushkin Silverline 8GB (2 x 4GB) DDR3-1600 Memory ($34.99 @ Newegg)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($49.89 @ OutletPC)
Video Card: Gigabyte GeForce GTX 960 4GB Video Card ($209.99 @ Newegg)
Case: Cooler Master N200 MicroATX Mid Tower Case ($43.99 @ SuperBiiz)
Power Supply: XFX TS 550W 80+ Bronze Certified ATX Power Supply ($26.99 @ Newegg)
Optical Drive: Asus DRW-24B1ST/BLK/B/AS DVD/CD Writer ($16.45 @ OutletPC)
Operating System: Microsoft Windows 10 Home OEM (64-bit) ($94.89 @ OutletPC)
Wireless Network Adapter: TP-Link TL-WN881ND 802.11b/g/n PCI-Express x1 Wi-Fi Adapter ($17.89 @ SuperBiiz)
Monitor: Asus VS228T-P 60Hz 21.5" Monitor ($96.99 @ NCIX US)
Keyboard: Cooler Master CM Storm Devastator Gaming Bundle Wired Gaming Keyboard w/Optical Mouse ($26.98 @ Newegg)
Headphones: Kingston HyperX Cloud Pro Headset ($79.99 @ Amazon)
Total: $873.57
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2015-09-26 04:44 EDT-0400
 

Cryio

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Switch the 960 with 380 4 GB ram if possible. Faster GPU for same or lower price usually.

Switch the 6300 with the 8300 if it's available on site. Usually it's just 10-20 dollars difference between them and you get 33% more CPU power.

Think really hard if you need a DVD-ROM in this time and day. You're better off with a 32 GB stick really.

When asking questions about PC builds, don't include monitor, keyboard, headsets or mouse. Also, Wirefless Network adapter? I guess this is for making the PC able to use WiFi networks ?