$1000 5870 build complete!

That's a pretty terrible build. First, almost everything is low quality. Second, you've got triple channel RAM for a dual channel board. Third, thermal paste is completely unnecessary if you don't plan on a massive overclock. Fourth, the 2 GB version of the 5870 isn't worth the extra money over the 1 GB. Save yourself a good $100.

Here's much, much better one for less:

CPU/Mobo: X4 955 and Gigabyte GA-790XTA-UD4 $285 after rebate (with free game)
GPU/PSU: HD 5870 and XFX 750W $430 after rebate
RAM: G.Skill Eco 2x2 GB 1600 mhz CAS Latency 7 $105
Case: HAF 922 $90. Also look at the Coolermaster 690 ($70 shipped) and the Antec 300 Illusion ($65 shipped).

Total: $975 with shipping ($940 after rebates)