Console: Xbox 360.
Game Mode: Zombies.
Section: Theater / Recent Games.
Bug: Infinite Loading Screen.
Duplicate?: View a video in which it's length is 1 second long.
Temporary Fix: Sign out of profile, or exit game.
Possible Permanent Fix: Videos shorter than 2 seconds should not auto save.
Not a big deal but it's my contribution to making this game better and to ward of complainers.
Please try clearing your system cache and see if that helps.