I recently bought a GTX 1080 Founders Edition that I'm connecting to an ASUS ATX ROG STRIX X99 Gaming Board. I've heard that the new Intel i7 Processor would a good buy, but are there any other good gaming processors that would go well with my current equipment?
If you're not going to be overclocking (though if you have that system, why wouldn't you be overclocking is likely a better question), then the Intel Xeon E5-1620 V4 is a better gaming processor than the Intel Core i7-5820K or the Intel Core i7-6800K. Those processors feature more cores and threads but lower clock speeds, and games don't yet really need more than eight threads. The lower price on the E5-1620 v4 is nice too.
The only real downside here is that this is a locked processor, so you won't have any ability to overclock. If for some reason you're not going to be doing that, then by all means get the Xeon mentioned above.