You can alternatively right-click the DVD drive in Windows Explorer and select Open With or Auto Play from the context menu.
The Windows 8 Media Center Pack for the operating system is free until January 31, 2013.
After that it is sold for about to add the same capabilities (get it here for free while the offer lasts).
You simply move around in the menu until you find the play DVD option and select it.
If you have not already inserted the video DVD do so now to play the video.
It comes for a price though, as it costs currently and may rise in price later on.
Windows Media Player won't be upgraded to included DVD playback capabilities.
To play a DVD movie afterwards open Windows Media Center, for instance by typing Media Center on Windows 8's start screen.