With a Library Science degree, you can pursue a career with a wide variety of businesses and organizations, beyond that of actual libraries. One organization that hires from the Library Science arena is the CIA.
Now, I'm not sure if I'd actually be cut out for a position with the CIA - it appears to be very heavy on the information science/techy area, and at this point, that is not me. However, how awesome would it be to say you work for the CIA?
"Hi, Rae, nice to meet you. I'm Bob; I'm an accountant. What do you do?"
"Well, Bob, I work for the CIA. Thank you and goodnight."