What a refreshing post - someone with a good budget.
No crap parts. Im a pedantic mofo and i have seen, first hand , return rates of equipment.
http://au.pcpartpicker.com/p/HzycWZ - $3139 (it can be played with though - cheaper case etc)
Samsung 32" 1440p monitor on a 980ti. Ultimate interface & video card. People often neglect the monitor.
250gb SSD - o/s
500gb SSD - gaming & programs
2TB HDD - media storage & playback (movies, music etc)
R5 case - best case on market. Will last many years.
You dont need overclocking. its a minor perf boost that costs a fair bit extra bc you have to get a Z board, a K cpu and an aftermarket cooler.
The i5-6600 is the fastest i5.
$ spent where it counts on ultimate monitor and video card and storage. Thered be $ to spend on other items than going with overclocking (in days of ivy bridge you could get insane perf benefits. currently not the case)
You do not need an i7 for 99% of games.
Over 50% of the budget is going towards the monitor and video card. What you look at and what drives it. The monitor will last you years & years / many builds.