Wow and Dirt aren't exactly demanding so I would say
Asus P8Z68 V-LE
Antec Earthwatts Green 630W
8 GB of cheapest 1600 CL9 RAM (that's not Wintec or PNY)
Rosewill Challenger case
64GB Crucial m4 SSD
Cheapest SATA 6gb/s hdd, depends how much capacity u want
I'm not using this computer for surfing or any kind of storage. Strictly bare bones. I'm not even going to install an antivirus. I have other computers I use for surfing and mp3/video/picture storage. A single, tiny, SSD will do the trick.
So, what I'm getting from your suggestion, angaddev, is that I need a really good video card, but an inexpensive CPU will do the trick to get me what I want?
7850 consumes less power, is cooler in terms of temps, and is better in performance. Even though the 7850 is very efficient I would at the very least get a 550-600W PSU, incase you add HDDs and other peripherals