Addendum: I'm especially interested in hearing arguments for why I should finish my degree. I try not to be dogmatic about any views and am continually open to new data/ideas to refine my thoughts, so if you know of some compelling reasons, I'm all ears.
Maybe not fulfilling all of the requirements for a degree per se, but Phillip Greenspun finds a university a great source of entertainment.
"Taking advantage of my location in Cambridge, I have sat in on some classes at MIT in Atmospheric Physics, Biology, and Geology. I also teach a software engineering lab course at MIT every three or four semesters (textbook). But for me, the university has mostly been a source of entertainment; I have never looked to it as a source of income."
So the compelling reason might not be that getting a degree will impress other people, but that learning is a fun and enriching experience. Yes, there are dead trees in libraries, but lectures, being able to ask questions to someone who is an expert in what you want to learn, and collaborating with peers who also want to learn are difficult to duplicate with only dead trees.