Most games with plot cutscenes allow for a way to replay them within the game, and in Diablo of the past, I believe this could be done through the main menu. With the character creation aspect, that may complicate things. Still, I think that having an item (maybe a journal or diary) in the Inn of major cities where you can play or review cutscenes with the character you are currently playing would be wonderful.
I enjoy the addition of the character creation a lot, and had a lot of fun taking screenshots of plot cutscenes with my character. I wish I could do the same with characters I create for seasonal content without having to play through the whole story.