AMD right now is indeed a waste. Are you wanting that hex-core CPU because you're doing some heavily CPU intensive tasks? If it's just for gaming (as the title implies) then moving to a low-end Intel CPU would be a much better idea and would also out-perform that in gaming.
MSI P67A-C43 Intel LGA 1155 Motherboard
Intel Core i3 2100 LGA 1155 Dual-Core 3.1GHz CPU with Hyper Threading
That CPU will run circles around any AMD CPU when it comes to gaming, and it's only a dual-core. The thing is, it has Hyper Threading, so it actually has four threads instead of just two, so games like WoW will just flat-out run better.
Also, get rid of the sound card - discrete sound cards are not worth it unless you're willing to spend ~$75 for a good one (such as the ASUS Zonar). On-board sound will be just as good as that cheap-o sound card. The video card is also a little on the weak side, especially since it's low-profile and doesn't support DirectX 11, my recommendation is the HIS
Radeon HD5770 - it's inexpensive and has a decent rebate on it, too.
Last, but certainly not least: the memory. There's no use in having 6GB ESPECIALLY since only Intel socket LGA 1366 supports Triple Channel memory.
G.SKILL 4GB (2x2GB) DDR3 1333MHz will be more than enough for any game.
With these changes I've made, you actually SAVE money. Total: 920.96. Your prices are actually a little off on some of the items, the power supply especially: TD has it for 99.99, unless there's some $30 off sale on it.
Furthermore, I did up a wishlist on Newegg, and while they don't have the same monitor on your list or the speakers, I took the liberty of upgrading the monitor:
Thermaltake V3 Black Edition
MSI P67A-C43 Motherboard
Intel Core i3 2100 3.1 GHz CPU
HIS Radeon HD5770
Corsair TX650 V2 650W PSU
G.SKILL 4GB DDR3 1333MHz RAM
Hitachi Deskstar 5k3000 2TB HDD
Acer S211HLbd 21.5" LED LCD Monitor
Sony Optaric DVD-Burner combo drive
Zonet ZEW1642S Wireless PCI Adapter
ASUS RT-N12 802.11n/g/b Wireless Residential Gateway
Zalman CNPS9700 LED 110mm 2ball CPU fan
Arctic Cooling MX-2 Thermal Paste
Total: 882.87 before shipping. Newegg also gives shipping discounts when you buy in bulk. Add in speakers and mouse/keyboard and you're still under $1000. Removed cheap sound card and wired NIC because both are needless redundancies.