First, I would recommend downloading and using the latest RC version of MPC-HC
(Media Player Classic - Home Cinema). Even though they warn you they are experimental, they are perfectly stable, ime. These versions are constantly under development, incorporate the latest improvements, and I believe you will have an overall better experience with them. This is my personal favorite player (love the simple and intuitive user interface) although it frequently takes some tweaking and the use of something like Shark007's win7 codecs
to get the best from it.
Second, with MPC-HC, at least, there is a way to turn off the display you don't like. Open MPC-HC, hit the O key (brings up the options menu) and on the first screen which appears which is the "Player" tab, uncheck the box for "show controls in fullscreen." That should disable the display you don't like.
(Btw, you can also modify it to how many seconds you want it displayed rather than disable it entirely.)