I'm finding myself rebuying games on the XBox that I have on the PC. Even though they can often go to much higher resolutions and give a cleaner look, I feel having them on a CRT, even better on an HD CRT, makes them much more lively. Plus it means I don't have to bother with the random controller support of PC games from that era.
I do this alot as well. Its also often a pain to get them to run properly on PC, but they will always work on your good ole Xbox.