Creative people talking about being creative has always interested me, especially interviews with authors. As a writer who specializes in unpublished novels, creativity and writing are topics I enjoy listening about. There are 3 podcasts in particular about the business and craft of writing that I have found enjoyable:
I Should Be Writing. A show for "wannabe fiction writers," veteran podcaster Mur Lafferty talks about her own writing career, which offers great insights into the business life of the writer. Her shows include question-and-answer audience feedback, which is where her advice on technique is often given. Most of her episodes feature author interviews, as well.
Writing Excuses. Four accomplished authors as hosts (Mary Robinette Cowal, Dan Wells, Brandon Sanderson, Howard Tayler), fifteen minutes, once per week. This show focuses most often on writing technique, but covers aspects of the business of writing, as well, along with a few interviews thrown in along the way.
Nerdist Writers Panel. A new show, part of Chris Hardwick's growing Nerdist family of podcasts, this one is Ben Blacker hosting a round-table discussion with TV writers. The life of a TV writer is so different from that of novelist that I have found this new podcast very interesting. There is not a large focus on technique here, but instead on the TV industry itself, how to break into it, what the "writers' room" is like on a TV show, those sorts of topics.