First time attempting to build

[Mightmorph]

This build may take a few months to actually complete, but here is what I will be looking for:

Budget - around $600-700
Games / Settings Desired - WoW -Ultra preferred, High acceptable. Diablo 3 - decent - high, I won't be playing it that often but would like this to be decently playable.
Any other intensive software or special things you do (Frequent video encoding, 3D modeling, etc) - Nothing in particular. I am in school for business programming, but unsure if there will be any intensive software with it.
Country - USA
Do you need an OS? No, I can get it through my school.
Do you need peripherals (e.g. monitor, mouse, keyboard, speakers, etc)? Possibly some cheapish speakers, nothing high end. I have some cheap logitechs right now that I can move over depending on if I can find cheaper or around the same. I believe they were $15-20ish.
A 21" monitor or so would be nice with HDMI port if it helps with qualitity

I can't post links but...
pcpartpicker.com/p/2aeuT is a build I was looking at that I found from another thread. Would like to stay somewhere in that price range.
Also, recommendations on the order to buy the pieces would be appreciated.

[Deleted]

If you can stretch to $730, I can get you a monitor with speakers and a 4670k (but no cooler):

PCPartPicker part list / Price breakdown by merchant / Benchmarks

CPU: Intel Core i5-4670K 3.4GHz Quad-Core Processor ($210.98 @ Newegg)
Motherboard: ASRock Z87 Pro3 ATX LGA1150 Motherboard ($94.99 @ Newegg)
Memory: Team Vulcan 8GB (2 x 4GB) DDR3-1600 Memory ($49.99 @ Newegg)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($58.98 @ Newegg)
Video Card: Sapphire Radeon HD 7870 GHz Edition 2GB Video Card ($144.99 @ Newegg)
Case: Raidmax ATX-249B (Black) ATX Mid Tower Case ($34.99 @ Newegg)
Power Supply: Corsair Builder 600W 80+ Bronze Certified ATX Power Supply ($49.99 @ Newegg)
Monitor: ViewSonic VA2246M-LED 60Hz 22.0" Monitor ($119.99 @ B&H)
Total: $726.90
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2013-11-29 10:28 EST-0500)