Corsair makes good PSU and I really only recommend Seasonic, EVGA, and Corsair, mainly just because I have had good experience with their products. The VS is at the bottom of the Corsair lineup and is made with cheaper components. With that being said, I would go with that one before I went with a more expensive model from a brand I have never heard of.
Your CPU is not too bad to combine with a 1080, but it will cause a bottleneck. If you want to get the most out of your system, you will need to upgrade the CPU at some point.
You cant look at clockspeeds to determine a chips performance. Clockspeeds are important, but there are many other factors that determine single core and multi core performance. Think of it like this, if you are driving in a bunch of mud, the wheels maybe spinning 40 miles per hour , but your car is not moving 40 miles per hour. The wheels are just spinning in the mud and the car is barely moving. You don't just judge a processor by how fast it's "wheels can spin", rather you have to consider the quality of the architecture, or "cores" it is moving in.
The Ryzen 1600 that I suggested has a base clock of 3.2ghz, but it can be overclocked to somewhere between 3.8-4.1 Depends on silicon lottery. Some chips perform better than others from the same lineup. So if you measuring clock for clock, the 1600 will have clock speeds comparable to the fx 6300. But the 1600 is a much better processor in every measurable category.
If your on a budget, then I would recommend the 1600 over the 1600x, because they are essentially the same chip except the 1600x is clocked a little higher and has xfr which essentially adds a little more to the boost, sometimes. Since both chips have unlocked multipliers and can be overclocked, a 1600 can be overclocked to match the clock speed of a 1600x. The bigger difference is the 1600 comes with a wraith cooler where the 1600x does not come with a cooler. So if you buy the 1600x, then you would also need to factor in the cost of an aftermarket CPU cooler.
As for an Intel build, see below. But if you are wanting value over performance, the AMD is a better way to go right now. The same intel build cost a little more than the AMD build, but the intel processor is a 4 core/4 thread chip, where the AMD chip is a 6 core/12 thread chip. This does not mean much for games, but if you want to use your PC for anything other than gaming, such as video editing or streaming, then the AMD chip will perform better while the Intel chip has a little bit better performance in games.
PCPartPicker part list:
https://pcpartpicker.com/list/dMhR3F
Price breakdown by merchant: https://pcpartpicker.com/list/dMhR3F/by_merchant/
CPU: Intel - Core i5-7600K 3.8GHz Quad-Core Processor ($224.99 @ SuperBiiz)
CPU Cooler: Deepcool - GAMMAXX 400 74.3 CFM CPU Cooler ($22.79 @ OutletPC)
Motherboard: MSI - Z270 TOMAHAWK ATX LGA1151 Motherboard ($111.98 @ Newegg)
Memory: Corsair - Vengeance LPX 16GB (2 x 8GB) DDR4-2666 Memory ($124.99 @ Amazon)
Storage: Samsung - 960 EVO 250GB M.2-2280 Solid State Drive ($127.88 @ OutletPC)
Video Card: Zotac - GeForce GTX 1080 8GB AMP! Edition Video Card ($569.99 @ Amazon)
Power Supply: EVGA - SuperNOVA G2 650W 80+ Gold Certified Fully-Modular ATX Power Supply ($99.79 @ OutletPC)
Total: $1282.41
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2017-07-17 10:25 EDT-0400