Desert Island Discs is a British Radio institution where a celebrity guest chooses eight records, one book (in addition to Shakespeare and the Bible) and one luxury item to take with then to the mythical desert island. Around this format, the guest discusses his or her life and the reasons for the choices. This recording, from 2000, features J. K. Rowling. http://www.bbc.co.uk/programmes/b00zzwfl
It lasts 50 minutes and whilst it doesn't tell us anything new, it is an enjoyable listen.
It is available for listening for the next 4 days.