Ok so entire system for ~2k with a keyboard, mouse, headset, and monitor. You can do quite alot for that budget in all honesty!
Let me make a few adjustments based on my ideas and see what you think ok? I can only suggest a few things but its up to you in the end (FYI Im going to just link based on sites in PC part picker, just not a big fan of it because normally people buy from one spot and the prices are very different at times):
i5 4690K (I would still get a K variant with the budget because even if you do not want to you can use auto overclock tools to boost its performance for free!)
MSI Z97 Gaming 3 (Great value motherboards with loads of features, free overclocking tools that will auto overclock for you)
Antec Kuhler 950 CPU AIO (A good Value and great CPU cooler, will allow for great overclocking and is very reliable, I have the older model of this still going in a friends rig for 3 years strong)
Gskill 8gb Sniper 1600 (2x4gb (More than enough for gaming, nothing really exceeds this)
Crucial MX100 256gb SSD (Great value SSD with good reviews)
Seagate Barracuda 1tb
Seasonic 550 Gold PSU (Powerful, efficient, and just reliable PSU's!)
NZXT Phantom 410 (Case is more of a matter of the user, just make sure everything will fit and pick the case that looks best to you!)
MSI Gaming R9 290X (For some odd reason this site has the 280X then skips to the 290X, no 290...If you can get a 290 and want to save a couple of buck just get a 290 as its great for 90% of the 290X in performance and a better value. If you do go for the 290, up your SSD to a 500+ gb)
Windows 8.1
Razer Kraken
Razer Deathadder
Razer DeathStalker
Overall with this suggestion you will have your self one heck of a gaming machine ready for years to come! My suggestions are based on using as much of the budget for as much power as possible while getting the things you wanted and came to $1966. You should then be able to pair this with any monitor you buy (Probably up to 1440p resolution) and play a game a max settings!
Hope this can help you!