The Skeptics' Guide to the Universe -
https://www.theskepticsguide.org/podcasts - Fun science and critical thinking podcast. Has been around for over 10 years. Worth it just for the Science or Fiction game each week.
Escape Pod - http://escapepod.org/category/podcasts/ - Weekly science fiction podcast magazine. The quality and variety of the stories is amazing. I have found lots of new authors via the stories from this podcast. (Also has Pseudopod for horror fiction, PodCastle for fantasy, and Cast of Wonders for YA fiction)
The Infinite Monkey Cage - https://www.bbc.co.uk/programmes/b00snr0w/episodes/downloads - Witty, irreverent look at the world through scientists' eyes. From the BBC with Brian Cox and Robin Ince.
Daniel and Jorge Explain the Universe - https://www.iheart.com/podcast/105-daniel-and-jorge-explain-... - A fun-filled discussion of the big, mind-blowing, unanswered questions about the Universe. By a CERN Physicist (Daniel) and the author of PhD Comics (Jorge).
LRC Presents: All the President's Lawyers - https://www.kcrw.com/news/shows/lrc-presents-all-the-preside... - An in-depth and often humorous look at President Trump's Legal issues. I know, not quite the normal HN sort of content, but worth it.
FiveThirtyEight Politics - https://fivethirtyeight.com/tag/politics-podcast/ - A geeky look at (mostly US) politics and polling.
Talk Nerdy with Cara Santa Maria - https://www.carasantamaria.com/podcast - "conversations with interesting people about interesting topics". Cara is an great science communicator and is well worth listening to on this and the The Skeptics' Guide to the Universe podcast.
