EconTalk. Many different subjects viewed through the lens of economics. Generally free market outlook but incredibly thoughtful and always interesting guests.

The History of Byzantium. Follows Mike Duncan’s The History Of Rome and carries the story on in the eastern empire.

Hardcore History

The Editors. If anyone is looking for the steel man (as opposed to straw man) version of the conservative perspective on the news of the day, this podcast from National Review fits the bill.