There definitely are some cutscenes I rewatch. It's been a while since I replayed the Subspace Emissary in Super Smash Bros. Brawl, but I always rewatched the cutscenes in that. I also really enjoy rewatching the character introduction trailers for Super Smash Bros. for Nintendo 3DS and Wii U.
A more recent example is Bayonetta. Even if the cutscenes can get very long, I still enjoy rewatching them because I just love the story so much. I'll admit, now that I've finished my third playthrough, I do tend to occasionally skip them, but I still enjoy them nonetheless. Oh, and the "Let's Dance Boys" video is one I'll never grow bored of.