For just videos, basic gaming and downloading, I'd probably make the following changes to boogs' build (which is pretty good):
- remove video card (as you've asked), the integrated one on the CPU should be enough for pretty much any game as long as you don't mind some lower settings
- switch to a cheaper ~$70 motherboard
- if you're planning to attach an external drive, maybe consider switching the 320GB HDD with a ~$60 60GB SSD
- 2x2GB RAM may be enough, though won't save too much

AMD's A10 chips are due next month I believe, so if you can wait, that could also be a consideration.