Here's my suggestion:
PCPartPicker part list /
Price breakdown by merchant
CPU: Intel Core i5-6600K 3.5GHz Quad-Core Processor ($259.99 @ B&H)
CPU Cooler: Phanteks PH-TC14PE_BK 78.1 CFM CPU Cooler ($69.99 @ Newegg)
Motherboard: Asus Z170-A ATX LGA1151 Motherboard ($153.99 @ SuperBiiz)
Memory: Corsair Vengeance LPX 8GB (2 x 4GB) DDR4-3000 Memory ($64.99 @ Amazon)
Storage: Samsung 850 EVO-Series 250GB 2.5" Solid State Drive ($84.89 @ OutletPC)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($52.33 @ OutletPC)
Video Card: MSI Radeon R9 390 8GB Video Card ($313.98 @ Newegg)
Case: Phanteks Enthoo Pro ATX Full Tower Case ($79.99 @ Newegg)
Power Supply: EVGA 750W 80+ Gold Certified Fully-Modular ATX Power Supply ($90.99 @ NCIX US)
Optical Drive: Asus DRW-24B1ST/BLK/B/AS DVD/CD Writer ($17.89 @ OutletPC)
Total: $1189.03
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2015-10-20 11:39 EDT-0400
I haven't included an OS but you can buy 7, 8, or 10 (pick whatever you can find the cheapest because you can upgrade for free to windows 10).
I chose the r9 390 because: The best price/performance gpu now. Only consumes 40-60w more than a gtx 970 and it is more powerful, especially at higher resolution.
Even if you have a 1080p monitor you can use virtual super resolution to play at 1440p or even 4K on some title so the extra vram will be beneficial
(altough it isn't powerful enough to use 8gb of vram, it can use more than 4gb at 1080p on certain games).
ALSO GCN architecture is more optimised for Directx 12 (right now) because Mantle was used for the development of DX 12
(can use asynchronous compute as opposed to Nvidia, which is not yet optimised for that) But keep in mind that there is no gpu on the market today(maybe next year) that has full DX 12 capability.
P.S. I am building a Skylake pc (but with the i7 and went with the same msi gpu)
The PSU is very high quality (I have the 850w model myself).
I picked high clocked ram because Skylake architecture scales well with faster memory.
The Cpu cooler is very good for the price and you can overclock with no problem (also matches the color of the mobo). I wouldn't get an Closed loop liquid cooler as thay are expensive and have poor performance/noise ratio.
The case I picked is a good choice (usually costs ~100$) and much better quality than your chosen NZXT. Other great choices: Corsair **r series , Fractal Design r4/r5 etc. If you absolutely want an NZXT case pick the Phantom 530.
The 120gb of the Evo does not really worth it (If yoy don't have budget for the ssd then just pick the WD hdd, and get the ssd later). Also, WD10ezex is higher quality than the seagate drive you've picked.
In terms of wifi card (I still recommend to try to use ethernet cable as it's faster and stable) I recommend the TP-Link TL-WDN4800.
In conclusion, this build will perform very good and will last you a good while (also looking good).