In a way, Metroid Other M had a option to skip either cutscenes or gameplay. Sure you had to actually beat a section normally to unlock the gameplay skip feature, but when you did, it allowed you to watch everything as a playback. It didn't just show you the cutscene itself, but also a little bit of the running through doors part to get to the cutscene. And I think it also included abbreviated boss battles.
You could pretty much just re-watch the whole story section and still get the context of everything. The story section was pretty terrible, but it was still there.
EDIT: Oh yeah, I suppose I'll need an opinion on this... I have no problem with the option to skip sections of gameplay, just so long as it's hidden a little. Perhaps a well-publicized cheat code, or a option in the main menu, "yes, I would like to be able to skip sections of the game". If some people would prefer to ignore parts of the game they paid for, why should it matter to the rest of us. Yes, the people who complain about the very notion are being silly.