The Write Life has compiled a list of 20 Inspiring Writing Podcasts to Subscribe to right now. I’d recommend giving them a try before subscribing, but it’s easy enough to unsubscribe if a particular podcast isn’t for you.
The one podcast I listen to on a regular basis is writer, Ann Kroeker’s Writing Coach. I use PlayerFM and I am very fond of their platform.
Look for a special bonus Writing Advice later on this afternoon to finish out the series!
Griffins and Ginger Snaps 
As a complete podcast addict – and a writer – I admit to not having heard a single writing podcast, nor did I ever even think about such a thing!
Ann Kroeker’s is very good because it’s accessible to every level of writer. She also includes a transcript (at least on my podcast forum – PlayerFM) to either follow along with or come back to. I’m finally catching up on my play later list and it happens to be about lists which I was just talking to someone about this morning. Depending on the topic, I’d say the pod ranges in time from just a few minutes (this one on lists) to up to an hour (for an interview).