Binary package hint: compiz-core
1. When enabling the desktop effects and you happen to have a firefox window open, firefox misbehaves, it doesn't let the window to minimize/maximize. Additionally, the window manager goes off screen so you can't move the firefox window with the mouse.
2. Totem movie player has major problems with compiz. It loses the picture when you resize the movie size to 2x and it also loses the picture 3 out of 5 times when you go to full screen with a movie.