Philips DVD580M Lifestyle DVD Player
Very small, works well for me
I needed a vertical DVD player to fit in the cabinet in my bedroom and this model is pretty much the only one I've found.  The unit is much smaller than you'd think looking at the web page and takes up very little space.  It's only about 9-1/2 inches tall when standing vertically - and only about 2 inches thick.  It does have a stand as a base that spreads out a little.  The performance has been perfect for me (is there such a thing as a DVD player with a bad picture?).  As 'guest from Capitola' says, no DVD player has a volume control that is part of the player -- that's the function of your amp or TV to do.  The remote that comes with this model does have a volume control that would work with a Philips receiver if you had one, but that's no big thing.  That's only a couple buttons out of the 50+ on the remote and a non-issue to me.  It has 6 audio outputs providing discrete channels if you have equipment that can handle them; for now I have it plugged into the TV which means only the left and right front--and that also works fine with this unit.