I think you can only re-watch cutscenes you saw after the Unending Journey was added. I have all the job quest cutscenes except DRG unlocked, but DRG was my first 50 after 2.0 launched.

On the other hand, people have mentioned that certain cutscenes are missing sequences when you watch them at the inn, versus when you catch them live, so there's that. It's not going to stop me from asking new players to skip at least a couple CS in MSQ roulette though--if you let someone watch each CS, it's like 70 minutes of CS for a 20 minute dungeon.