You won't need to watch a movie to see the moves at chessbase [0].

[0] http://en.chessbase.com/post/newsblog-wcc-carlsen-karjakin-2...

Also a plug for ChessNetwork, who posts 20-min summaries of games the day after, for example:

https://www.youtube.com/watch?v=1vgn7OXug3M

I like to watch the games live on freechess.org (you might want to install a client to connect to their server), because I people can discuss the moves during the game, it's a different experience than just replaying the moves.

You can find moves and analysis here:

https://www.chess.com/news/another-dull-draw-in-world-champs...