This is one of the things I hated in both XI and XIV. My character doesn't feel important at all in the story, I'm just some dude saving the world while the NPC who saved me earlier from the boss I just beat the shit out off takes all the credit. Alright I might exaggerate a tiny bit but it's still somewhat true. I wouldn't mind if our characters to talk in CS or stayed silent, but I would much rather have THEM save the NPCs and then proceed to battle the boss. That's not saying they have to be Rambo in every cutscene though.
When you first meet Gaius, this part
http://youtu.be/XvVGqx5r1mg?t=1m3s I hate it. Makes me feel like a defenseless young anime girl about to fall on her bum. The hero of Eorzea...
At least the final cutscene where everyone praise you was good, I liked that.
In short, please make our characters actually feel like the heroes they are and not "You're the one who will save us! Now please go and stand in the corner while me and this Miqote talk like you're not here".