PSU: ChiefTec A80
Cooling: Any
Video Card: Palit Sonic Overclocking (Platinum) edition Nvidia GTX 460 1 GB GDDR5.
RAM: 2x2Gb Corsair
Motherboard: AsRock H61M-VS
CPU: Intel i5-2300 (2.80GHz Quad)
Estimates under $800, depending on your other choices (HDD, CD/DVD, which is chosen to your needs).
I personally paid exactly $800 for a prebuilt with the above, 2 TB HDD, DVD-RW, and some other stuff.
So relatively you'd actually get under $700. (Our VAT is 25% so I paid a unnecessary extra bunch).
Runs Battlefield 3 on Ultra on Operation Metro (When I played it in BETA). Not reliable for recording, since it kinda limits your FPS. Also my resolution is 1366 x 768.