http://pcpartpicker.com/p/rqyLxr
It came to $1620 which is obviously on the high end (though you can tweak a few parts). However, I did this so I could put in a good monitor:
Asus 27", 2560x1440 IPS.
The rest is pretty straight forward. I picked parts I felt were the best quality but still reasonable priced. The MOTHERBOARD for example has great customer feedback and appears very reliable.
Modular PSU (minimize cable clutter) rated GOLD etc.
I could have saved a bit on DDR3 memory but the color didn't match. Also could save a bit on a Hard Drive. The 3TB model was roughly $100 and 1TB for about $55 so you can decide there.
*The Noctua NH-U12S is an excellent cooler which I've used with an i5-4670K build. The fan spins at 300RPM (if fan profile setup properly) in idle which is silent. That's especially nice since the GPU fans can turn off so you can essentially create a nearly SILENT build.
The EVO on the other hand is a great value but noticeably noisier under load and not completely silent in idle. I think it's worth the extra $30 which is only about 2% of your build cost.
Monitor again:
I've got a 27", 2560x1440 IPS monitor and I love it. There's simply no way I can go back to a 1080p monitor. I choose 1080p or 1440p resolution depending on the game. The higher resolution makes a HUGE DIFFERENCE for games like Starcraft 2, Torchlight etc (top-down "god" games).
Skyrim, Crysis and other shooters tend to not look much better at 1440p so the processing power is usually better served elsewhere.
Update:
I don't recommend the build above which uses a 6C/12T CPU. There's little advantage to gaming however the build ends up similar cost to mine. I personally think putting the money towards the monitor I recommend above is a better way to go.
GTX980??
Here's the "problem" IMO. Ignoring the 512MB "slow memory" issue which is for the most part not a big issue on the GTX970 (it's complicated... can explain if needed), the GTX980 is about $200 more. That money could go towards a 2560x1440 monitor. For most games the GTX980 is overkill at 1080p so while it's suitable for 1440p in many games you don't have the budget for the 1440p monitor with that card.
The performance difference is roughly 15% between a similar 970 and 980 but again the 980 ends up basically overkill at 1080p and applying a virtual 1440p with the new scaling option in the NVidia Control Panel does not make a 1080p monitor look like a 1440p monitor. Also, 27" does look a lot larger than 24" (though you don't want a 27" 1080p monitor).