The first thing that comes to mind would be set a card (primitive plane) and apply it as an animated texture. At each frame you would have to specify which frame of the move to display though.

[Edit] Hey it worked on my pc with an AVI assigned to the image plane. After my initial post I checked the help files for rotoscoping, which is what you're trying do basically. I couldn't use MOV, but thats probably due to being on a PC.