A case before the High Court (roughly analogous to the US Supreme Court) determined that images produced in a video game were the property of the game developer, not the player -- even though the player manipulated the game to produce a unique arrangement of game assets on the screen.
Ah—I wonder if that would really apply to something like Minecraft though.
See, I do agree with the court if you're playing through a linear game like Portal or Uncharted. Yes, technically the exact frames are unique to your playthrough, but the creativity came from the game developer.