Cute, and nice music choice. But wasteful, and most of the things they print out on the video left me thinking "wait, why would I print that? I can read that off my smartphone in 2 seconds!" It would take longer to print than just read. The Sudoku puzzle makes more sense, and a todo list might, but still...
With a good API I could think of lots of things that I'd personally use this for. I, for one, like having a daily list of tasks I need to accomplish on paper that I can have with me (I know I have my cell phone, but something about that physical copy just makes me more proactive in checking it and getting those items done).
Also, I coach my son's basketball team and before every practice I'm making out a practice plan (currently just in a notebook), but that would be nice to store them online, easily modify, then print before practice.
Depending on the content, I think a scrapbook of daily updates would be a fascinating collection for my kids to one day look through. Making interesting collections of news would outweigh the wastefulness of the experience (it's far more conservative than a daily paper).