FYI

Resolutions

HDTV = 1920 x 1080
DVD 16:9 = 720x480
DVD 4:3 = 720x360
Laserdisc = 560 x 360
analog TV standard cable TV = up to 460x360 but can be less
VHS = 300 x 360

So even with the 800x600 under $2000 budget PJ you don't even optomize the DVD resolution
TV Resolution would have a lot of artifacts when blown up with a big projector image to fit a resolution of 800x600. You would need a video up-scaler to increase/clean up the signal. The external Viesonic TV tuner or DVDO I-Scan line doubler does a good job. Also some projectors have a great built-in scalers such as in the X1. If your not planing to watch much HDTV you are fine with any of the projectors recommended by the users above.