Diablo 3 comes with a number of cut scenes, and as well put together as they are, I don't really intend to watch them multiple times. I've got Diablo 3 on an SSD, so if there's a way to remove these from my installation completely it would be greatly appreciated.
Sadly, no. While you can delete the 1.5 GB
enUS_Cutscene.mpq file from your installation directory, it will get re-created once you launch the game.
(Despite this, however, it seems that the cutscenes aren't actually downloaded again. Doing something that triggers a cutscene or watching one from the main menu will instead stream a low-res version of it from Blizzard's servers, YouTube-style.)