If I recall back in ARR the hard and fast rule for cutscenes in the inn was that if it had a dialogue prompt we had to toggle, it couldn't be rewatched. I'm not sure if that's held true since then, as I try to either watch the cutscenes if I can or just stop caring if a certain side story doesn't interest me anymore; but at one point there was some consistency to it.

Also in regards to NG+, frankly I'd rather they just copy LoTRO's Reflecting Pools. Each zone in LoTRO, at least last I played, has them, and you can replay most quests through them though like the cutscenes in FF there were a few that were inaccessible regardless. That or give us a combination of NG+ and the Reflecting Pools for those of us who just want to replay certain quests and not the whole story again.