Here is what I'd buy around your budget:
[url=http://pcpartpicker.com/p/RZX4]PCPartPicker part list[/url] / [url=http://pcpartpicker.com/p/RZX4/by_merchant/]Price breakdown by merchant[/url] / [url=http://pcpartpicker.com/p/RZX4/benchmarks/]Benchmarks[/url]
[b]CPU:[/b] [url=http://pcpartpicker.com/part/amd-cpu-fd6300wmhkbox]AMD FX-6300 3.5GHz 6-Core Processor[/url] ($129.99 @ Amazon)
[b]CPU Cooler:[/b] [url=http://pcpartpicker.com/part/cooler-master-cpu-cooler-rr212e20pkr2]Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler[/url] ($29.99 @ Newegg)
[b]Thermal Compound:[/b] [url=http://pcpartpicker.com/part/arctic-silver-thermal-paste-as535g]Arctic Silver 5 High-Density Polysynthetic Silver 3.5g Thermal Paste[/url] ($7.99 @ Newegg)
[b]Motherboard:[/b] [url=http://pcpartpicker.com/part/asrock-motherboard-970extreme4]ASRock 970 EXTREME4 ATX AM3+ Motherboard[/url] ($99.99 @ Amazon)
[b]Memory:[/b] [url=http://pcpartpicker.com/part/gskill-memory-f31866c9d8gab]G.Skill Ares Series 8GB (2 x 4GB) DDR3-1866 Memory[/url] ($64.99 @ Newegg)
[b]Storage:[/b] [url=http://pcpartpicker.com/part/western-digital-internal-hard-drive-wd10ezex]Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive[/url] ($66.99 @ Amazon)
[b]Video Card:[/b] [url=http://pcpartpicker.com/part/sapphire-video-card-1003522l]Sapphire Radeon HD 7950 3GB Video Card[/url] ($275.66 @ Newegg)
[b]Wireless Network Adapter:[/b] [url=http://pcpartpicker.com/part/asus-wireless-network-card-pcen15]Asus PCE-N15 802.11b/g/n PCI-Express x1 Wi-Fi Adapter[/url] ($26.98 @ Amazon)
[b]Case:[/b] [url=http://pcpartpicker.com/part/corsair-case-200r]Corsair 200R ATX Mid Tower Case[/url] ($49.99 @ Newegg)
[b]Power Supply:[/b] [url=http://pcpartpicker.com/part/corsair-power-supply-cx600]Corsair Builder 600W 80 PLUS Bronze Certified ATX12V Power Supply[/url] ($54.99 @ Newegg)
[b]Optical Drive:[/b] [url=http://pcpartpicker.com/part/samsung-optical-drive-sh224bb]Samsung SH-224BB DVD/CD Writer[/url] ($15.30 @ Newegg)
[b]Monitor:[/b] [url=http://pcpartpicker.com/part/aoc-monitor-e2351f]AOC e2351F 60Hz 23.0" Monitor[/url] ($134.99 @ Newegg)
[b]Total:[/b] $957.85
[i](Prices include shipping, taxes, and discounts when available.)[/i]
[i](Generated by PCPartPicker 2013-04-20 21:15 EDT-0400)[/i]
* Mobo supports front USB 3.0 ports (with the case I selected)
* RAM has been upgraded to 8 gb's (2 x 4 gb's) CAS 9 @ 1866 mHz!
* Upgraded the GPU to 7950!
* Upgraded HD to 1 TB
* Removed sound card. Most onboard sound cards are good. You can add one if you decide you want it later.
* Changed Case to a more affordable one, but still is quite good for the $.