Check the Westinghouse brand. Their products are very cheap and they work well in my experiences. My 19in widescreen I got 2 years ago has been working great with no problems whatsoever. It's got DVI (and VGA if you care), and the picture quality is very nice. The only gripe I have with it is that you can't adjust the monitor position left or right (you technically can adjust it up or down, but not much).
The one I have is the L1951NW. I think it's the cheapest one. They have many different monitors so browse around.