Over the years I've listened to a handle of martial arts related podcasts. Yes, they do exist. Unfortunately, a few of the good ones have fallen by the wayside over the years and haven't had a new episode in years.
However, there are two long standing podcasts I still listen to and to this day are regularly to semi-regularly updated. I'd highly recommend checking both out.
Practical Defense is a podcast aimed more toward tips and suggestions to help to keep yourself prepared and ready in today's setting. The podcast is less geared toward martial arts in general and more at keeping yourself self.
Karate Cafe Apparently the longest running martial arts podcast (albeit with a few lulls as they will admit) is more of a discussion podcast with topics that can encompass just about every topic you can think of and then more. A lot of good thoughtful discussions take place.
I've recently stumbled upon a few other martial arts podcasts and have been casually listening to. Any I think are worthwhile I'll pass along at some point in the future.
But, please, don't take my word for it. Feel free to explore on your own.
Sensei Brad & Sensei Dan
Thoughts and reflections from either Sensei Brad or Sensei Dan. Hopefully updated semi-regularly. From time to time we've been known to be right.