I'll start off by saying that 5 years is a little bit on the unrealistic side, at least for gaming purposes. You can easily build a rig that will work for 5 years for general use but by year 3 you're typically looking at least at a GPU upgrade. So what I would recommend is setting aside some cash for a GPU upgrade down the road. That being said here's what I would recommend:
CPU: Intel i7 4770K
Motherboard: Asus Gryphon Z87
RAM: Corsair Vengeance LP 16GB DDR3-1600
GPU: Gigabyte GTX 770 4GB
SSD: Samsung 840 500GB
HDD: Seagate 4TB HDD x 2 (or more if you really think you need that much space)
PSU: Seasonic 760W Platinum Modular
Cooling: Either a ThermalRight TrueSpirit or a Corsair H100i
Case: Corsair Obsidian 800D
Why I'm suggesting what I did:
CPU: Pretty much the best bang for the buck. Sure you could go with an IvyBridge Extreme processor or a Xeon but in all honesty for gaming they're really not worth it. An i5 is another good option but since we have such a large budget to work with we might as well go with an i7
Motherboard: Solid motherboard with all of the features you're likely to need
GPU: Sure there are more expensive cards out there, you could pay a grand for a Titan or a GTX 780 but they're really not necessary. If you want to go with them that's fine but I would say the sweet spot currently would be a GTX 770.
RAM: Solid RAM with no silly large heatspreaders what's not to like
SSD: It's always nice to have a large SSD to load your OS and all of your programs on and a 500GB SSD should accomplish that nicely
HDD: Since you want to use it as a server I figured we might as well go with 4TB hard drives. I'm not sure how much storage you need but 8TB should be plenty I would hope.
PSU: This should be plenty to power this system and many more down the road.
Cooling: Air cooling has come a long ways and is still quite capable of handling pretty high overclocks. That being said liquid cooling does allow for higher overclocks thus putting up the option of a closed loop system. I typically don't recommend open loop systems to folks that haven't been down that road many a times as they are not something that I would ever suggest a novice to go with.
Case: This case is absolutely cavernous allowing easy access to put in all of your components and plenty of airflow. Sure there are bigger ones out there but it does reach a point of silliness.
Now for the peripherals those are a lot of personal choice as I can prefer one keyboard, mouse, etc and you might prefer something different. That being said here are a few different suggestions:
Mouse: Corsair M95 mouse, Logitech G900x, Roccat Kone, Steelseries Sensei
Keyboards: CM Storm QuickFire, Logitech G710, Razer BlackWidow
Monitors: Dell UltraSharp U2412, Asus MX239H, Asus VS24AH