Toshiba SD-V390 Progressive-Scan DVD-VCR Combo
Solid product, long-lasting use
Great price, great value, great quality, decent customer service.  Toshiba is doing things right.  The V390 has progressive scan which gives you clearer pictures than regular DVD players.  The VCR has self-cleaning so you don't have to clean the heads often, maybe once every couple years should suffice.  Everything works fine.  Obviously, you can't copy most commercial DVD movies to VHS tape, due to Macrovision protection.  Toshiba and Panasonic now also sell DVD burners for home use, and they are cool (but still expensive).