MovieTexture is finally deprecated after Unity 5.6.0b1 release and new API that plays video on both Desktop and Mobile devices is now released.
VideoPlayer and Video
By now the VideoPlayer should be updated enough you don't need to write code to get to work correctly. Here are the settings I found to have the most desirable effect:
These settings are:
Video Player:
Audio Source:
Don't forget to have a VideoClip for the VideoPlayer and an AudioClip for the AudioSource. The file formats I found to work the best are .ogv for video and .wav for audio.