My favorite (for four or five DVD players now, including the portable one I use at school) is the Philips/Magnavox relatively inexpensive $45-65 one at Walmart. It plays DivX files, random other stuff, home-burned DVDs, home-burned CDs, doesn't have a region issue or a divide between NTSC/PAL that I've had problems with (my Region 2 German stuff works). The latest versions have a USB port as well.

The one drawback to these is that they last about 1-2 years and then start freezing up and have to be replaced. Course, that's at a HIGH usage rate, and I consider that to be a reasonable replacement rate for that price. (I also like the layout of the remote control.)