Once you completed the game (and thus viewed the video once already, during your play), go to treasures and select under "videos", "in-game movies".
continuously to skip all cutscenes, and you'll be at the treasures menu again.
Select "in-game movies" again, skip through them all again, the trophy will now unlock.
That's right, you don't even have to watch a single piece of cutscene. Just skip through it twice and the trophy is yours.