Currently Dan Carlin’s Hardcore History. Love it because he’s good at the storytelling and there aren’t a lot of sponsored segments like other popular shows.
Current favorites:
99% invisible
Articles of Interest (on hiatus)
Serial (takes long breaks)
Revisionist History
Cautionary Tales
Behind the Bastards
The Economics of Everyday Things
The Past and the Curious (for the kids)
Podcasts I don’t listen to you much anymore, though they have some good episodes: Deep Cover
Radiolab
This American Life
The Moth
Odd Lots
Animal Spirits Podcast
Dan Carlin’s Hardcore History
The Rest is History - two historians, Tom Holland and Dominic Sandbrook go deep on interesting topics from history.
Never Post - a podcast described as “about and for the internet” and in some sense the spiritual successor to Hello Internet but also reminding me of classic Radiolab. Worth checking out.