My same build with a lot of upgrades and a lot more knowledge. This was mostly to be used for pro tools audio editing/recording, but it turned out to be good for gaming as well. I can't complain.
The first version of this build was less then $1000. I have since made several upgrades. Also keep in mind I bought every part at my local microcenter in MN.
I will explain some parts and why I got it:
Processor: I pretty much built my entire computer around this. It has the hyper threading capability, and is just flawless in pro tools. I used it for way more then gaming, which is why I didn't get an i5.
Cpu Cooler: One of the upgrades I did later on, it was running a bit to hot, but mostly just to loud while trying to record.
I got a SSD just to boot windows and pro tools off of, and I'm in love. This thing is insane. I highly recommend one.
Video Card: I choose one that fit my price range, but still performed well, and I believe upgradable. It does what I need it do, but may get a better one in the future.
I did get a micro tower and motherboard, but they both work very well, Look very good, and stay cool.
I also choose windows 7 over 8 because I have not had much luck with windows 8 and pro tools. They do not seem to get a long.
They keyboard, mouse and tv have been laying around forever. Will hopefully get a decent 1080 monitor in the future.