$1300USD build (including Windows 10 Home 64-bit):
http://pcpartpicker.com/list/8YrY9W
I'm guessing that adds at least $200USD to the price, however based on the graphics card you wanted, that's the build I made to ensure good QUALITY parts. You can then ADJUST as you see fit. Now I comment which may HELP a bit with those choices:
1) Motherboard:
- IMO it's the most important part. Considering the limited choices for mini-ITX, I can't recommend another board. Great quality, good sound
http://www.bit-tech.net/hardware/2015/10/12/asus-z170i-pro-gaming-review/8
"offering better audio quality than Asus's own popular Xonar DXG 5.1 - just, while being a vast improvement compared to the Realtek ALC898-based P8Z77i-Deluxe, which offered noise and dynamic range levels of -93 and 92.7 dBA respectively..."
2) CPU:
The i5-6500 is only slightly cheaper, but the i5-6600K can be about 20% faster with a light overclock which is significant for some games with this video card.
2) SSD
- 250GB doesn't cost much more
- cheaper SSD's exist, but they are generally not as good a quality. Your OS, programs etc are stored on this so it's up to you to decide if the price is worth it.
- a few GAMES benefit significantly from the faster load times. SKYRIM for example because loads are quite frequent (building, dungeon, map points..), so there's at least 100GB space you can probably use just for games that need it, though I suggest being picky what goes here.
- Samsung Magician is a great program for Samsung SSD's. I won't bother to explain it here, but you can Google it if you wish (other SSD's have software too, so whatever you get investigate FIRMWARE updates and what software exists)
(Windows and other programs will eat up space over time. Without games you might not go above 60GB, but don't max out the space early..)
3) HDD:
2TB vs 1TB didn't add much to the cost. I suggest making a backup IMAGE of your OS occasionally which can eat up some space. Start installing games as well and the 1TB may not be good enough.
Performance also drops to 50% on the inner platter, so even if you only used 1TB of the 2TB drive, much of the data will be faster.
4) GTX1070.
- avoid single-fan cards since you have enough space for 2-fan (quieter, better cooling)
- don't overpay, but ensure the quality is there
- I chose the Asus Strix
- you probably want LED lighting of some sort though you can disable if annoying (this has RGB so any color you want)
5) Case:
I just chose yours, however:
a) make sure you won't be annoyed by a side window and the light it can cast (not all LEDs can be turned off, though you could put tape over the motherboard ones)
b) it has no DVD drive slot
6) PSU:
I chose a reasonably good PSU, though you can obviously get cheaper. It's another part I believe investing a little extra in compared to cheaper models. Lots of articles to explain why.
I recommend modular or semi-modular to avoid cable clutter.
Summary:
You can obviously build CHEAPER, so again I made a higher quality build, with slightly faster or higher capacity components.
You can now MODIFY it based on your budget. It's too hard for me to make those decisions for you since there isn't much I'm comfortable changing.