This History of Rome -- Pretty much exactly what the title says. This is an old podcast. It started in 2007 and finished in 2013. It pioneered the history podcast genre. It was made by Mike Duncan, who went on to create...
Revolutions -- Mike Duncan's follow up to The History of Rome. It's a similar format, but rather than a single on-going historical narrative, each season focuses on a different historical revolution. The original run of the show covered the English Revolution, American, French, Haitian, Spanish-American, 1830 French Revolution, 1848 European Revolutions, Mexican, and Russian Revolutions. He then concluded the podcast in 2022, but started it back up again late last year. This season is a fictionalized podcast about the Martian Revolution of the 24th century (told as a history from someone living well in the future of it). He's said that once he's done this season he's going back to doing historical revolutions picking back up after the Russian Revolution.