Right. Nothing is wrong with your movies. The thing is, the game loads the mission before playing the movie. And FSO seems to freeze up at that point because it is generating a cache file for the Typhon, which is a known issue and requires a long time. The game isn't stuck, even though your windows considers it's not responding during loading.
You can find info about that all around the FSPort forum. The solution is just to let it run for a few minutes until it finishes to generate that cache file. It's a one-time thing, the cache won't have to be generated again after that.