OK, I've installed a LMDE Mate and my PC doesn't want to shut down properly. It goes like this:
1) if I click Menu->Quit->Shut Down then the system starts terminating all running processes, gets out of the GUI session and then nothing happens and there some visual artifacts on the screen. (Similar to the attached picture but only the top half of the screen).
2) If I hit Control-Alt-Delete and choose Shut Down -- the same as above;
3) If I type "sudo shutdown -h 0" from the terminal everything works;
4) When I push the the power button (assigned to Shutdown in the "Power Management" section of the Control Center) on my PC case everything works;
I've installed the proprietary ATI drivers and have some suspicions they are partly to blame but I'm not completely sure about that.