Copy and pasting my spiel about history podcasts again:

I have listened to very, very many history podcasts. The vast majority of them are not good, but there are some exceptional ones:

• Revolutions by Mike Duncan: story of ten major modern revolutions, starting from the 17the century through to the 20th. He is the gold standard for good history podcasting: engaging, comprehensible, and accurate. He gets much better around Season 3 (the French Revolution), and even better again around Season 5. He had a previous podcast--The History of Rome-- which helped invent the genre, but it is very rough.
• History of the 20th Century: A thematic history of the 20th century, covering everything from high politics to music and culture to science and philosophy. Very good. Only up to the early 1930s right now, but you have a couple hundred episodes if you find you like it.
• The Age of Napoleon: A very good, very accurate, and extremely in-depth look at the life and career of the man once described as "History on Horseback". If you find yourself liking this, I think the Napoleonic Quarterly is a great complement as well.
• Literature and History: A wonderful tour through some of the most important works for modern English-speaking literature, with a lot of history to give context to it. He's only up to like 600 CE so far, so it is mostly the Ancient Middle East (including the bible) and Greece/Rome so far.
• Tides of History by Patrick Wyman: Very good show exploring big questions of history through cutting edge research and interviews (he has a PhD in the late Roman World and it shows). Most of the show is either on Pre-History (current seasons) or the Early Modern transition (c. 1250 - 1650), but he will have random episodes on like American History which are also very good.
• The Mirror of Antiquity: Does not update very much, but it is a beautiful podcast about people currently working within Classics (Rome/Greece) and how they find their work applicable to the current world. The episode with Rachel Kitzinger on translation is one of the best things I have ever heard.
• Beyond Huaxia: A very good series of lectures on the history of East Asia (mostly China, with some Japan). Feel free to listen out of order as you find things interesting or not.
• The Siècle: A series on the history of France from 1814-1914. France is probably the most "representative"/"exemplary" country of the long nineteenth century in many ways (at least among the industrial core), so a history of the country can be very informative about general trends of the 19th-century. Very well made, very clear.
• The Industrial Revolutions: I sometimes find the topics boring, but it's very well made and accurate so I strongly recommend checking it out if you think you might enjoy a look at the technology and personalities which have made the modern world.
• History of Philosophy Without Any Gaps: Lives up to its name, is very scholarly, short episodes on all the major (and many minor) figures in the Western + other traditions. Similar to the above, I find many of the episodes boring when it's a topic I don't care about, but very very good when I do care.
• In Our Time: A classic British interview show about everything, where they have three experts on to have an engaging and detailed discussion on a topic. Tons of history episodes. The only caveat I'll add is that the host is really bad about interrupting women (it gives me second hand cringe), though he clearly got told this so in the later episodes he is much less obnoxious.
• The History of English: A history of the English language for the past 5000 or so years. Can make topics you'd expect to be boring very interesting.
• Blowback: A podcast about the history of failed US intervention. The first season is about the US-Iraq relationship, and all of the backstory to the 2003 invasion (which is wild).

I also have quite a few audiobooks I recommend, many of which I have an extra copy of. So if you have a specific topic you are interested in, please let me know :)

Podcasts I'd avoid: Dan Carlin, because while he is very engaging, his information is often straight up wrong. Seems like a chill guy, though.

I love listening to The History of Byzantium by Robin Pierson. It's much in the style of Mike Duncan's Revolutions, but I'd say is more academic in a good way with some interesting interviews with experts in the field.

I also enjoy the funny and interesting The History of England by David Crowther. He's all the way up to the early 17th century! A terrific listen with lots of puns and jokes along the way.

BTW I'm not a historian. I just like history.

I don't listen to podcasts regularly, but there are a few that I'm fond of:

Not Just The Tudors is hosted by Dr. Suzannah Lipscomb (also a good Twitter follow), and examines largely 16th century history outside of the basic "here's what Henry VIII did" story one tends to find for that period. She interviews scholars about their areas of expertise, so you get a good range of topics and angles.

The Medieval Podcast is likewise hosted by someone knowledgeable (Danièle Cybulskie) who interviews other scholars on their areas of expertise, largely social history, and ranging from fairly direct stories of things that happened to the more abstract discussions like "the permeable self".

Ben Franklin's World is also a host-interviewer format, this time focused on the Early Modern Atlantic world! I really like podcasts based on interviews with subject-matter experts, because a) there's much less chance of big problems like you get with e.g. Dan Carlin, and b) their topics are often so niche that you learn about stuff you'd never have considered looking into yourself.

BBC Witness History is my favourite. Each episode focuses on a historical event, usually from the past 100 years. People who were connected to the event share their experience of it. The presenter provides context and contemporaneous archive audio is often used. Each episode is around 10 minutes long, and there is a huge back catalogue. It’s very easy to listen to.

Lions Led By Donkeys - narrative military history of notably bad or whacky officers, wars little known in the US, mismanaged battles; the general tilt of the show dismantles ideas of military efficacy and explains how cruelty towards those both within and without the ranks is baked into the hierarchical structure of militaries. Pod host Joe Kassabian is a veteran with a MA in History, and the show almost always has a non-expert guest or co-host who asks questions, provides commentary, and makes jokes. Split half/half between show-of-the-week and long-form series.

We're Not So Different - Host Dr Eleanor Janega covers a wide variety of topics related to medieval European history with commentary and questions from co-host Luke Waters. Sometimes ventures outside those geographical and temporal bounds. Show-of-the-week format, Janega is very engaging in her delivery. She also writes a blog called Going Medieval if you're looking for specific, focused, short-form history content.

Dig History Podcast - a bit more academic and less conversational than the previous two, great and frequent use of contemporary quotations. The hosts come out with a four-part series every few months covering different events which exemplify a particular concept in historical context. Emphasis on social, gender, sex, and colonial history, typically in North America.

I second Blowback, awesome show, and uniquely one that does primary research through interviews with contemporary subjects. Recently came out with a series on the US-Korean War.

Edit: forgot to add to the list a favorite of mine, pertaining to the history of my hometown - 1934: Mill City Revolt, a story of a teamsters strike in Minneapolis, Minnesota against the local business collective and the Farmer-Labor-led state government. Host Kele Cable's history chops as a PhD student at the local U shines through with excellent primary sourcing, and to my knowledge he's the only person who's written academically with this level of focus on this specific event. Cable's arc follows the concurrent rise of unionism and and socialist parties in the state, and highlights how the integration of the Farmer-Labor Party - the only socialist 3rd party to achieve political dominance in any American state - into institutions of governance then corrupted the Party's actual policy. In the state gov't most sympathetic to the workers' aims, strikes were violently suppressed, just like everywhere else at the time.

I second Tides of History, Patrick Wyman's work is well researched and his storytelling style is very considered and engaging. In more recent episodes he mixes narrative episodes with interview episodes, often just after an episode citing their work aired! It's fascinating to hear the different perspectives straight from the authors, and the quality of production that doesn't compromise on complexity makes this podcast outstanding.

I'll add The History of Yugoslavia by Alex Cruikshanks. The title says it all and the host is currently finishing a PhD in late Yugoslavian events. In the podcast he started with late 19th century events and is currently up to late 1930s. The episodes are narrative in format, with care given to discussing events from multiple perspectives and in the context of wider events. Definitely recommend!

Wondering what more professional historians think of Behind the Bastards? I like it, it’s funny. That said I’ve heard 2-3 things after listening to several episodes where my amateur historian skills have noticed it’s blatantly historically inaccurate

A lot of my favourites have been mentioned. But I'll add a couple I like I haven't seen.

A History of China - seriously, fantastic, and China is a area lots of people ignore. It's currently in the Ming era.

History of Persia - lots of people just see Persia as the enemy of Greece and Rome. But it's so much more and so amazing. Finished up the wars with Greece but not at Alexander yet.

The History of Saqartvelo Georgia - funny, interesting and an area ignored by a lot of people. Give it a listen

History of Bulgaria - sometimes a history of the Balkans from a Bulgarian view, but it's interesting as hell. Currently in the 1800s.

The Mariner’s Mirror is mine. They often have some naval historian as a guest to talk about a subject in maritime history. They have a lot of “typical” history podcasts on great battles and interesting ships, but they have a lot of cool ones on random subjects they teach you things you would never look into on your own. Wanna learn how fascinating Polynesian wave navigation is? Or the mind boggling complexity in how naval uniforms were established? They got you covered. Only interested in massive, world shaping battles? They got that too.

A History of Rock Music in 500 Songs is my absolute go to for entertainment. While it may come across as a less formal subject of interest, the host goes into considerable detail to pin the development of songs from the 1930s onwards. It’s also interesting to gauge the development of music theory and the developing social trends which led to each song developing as it did.

Dominic Perry's History of Ancient Egypt. He's a scholar on Ancient Egypt with a good understanding of the latest resources and theories. Episodes range from 20 minutes to an hour or more and side-eps discuss subjects like religion, holidays, and culture pretty in-depth. He does have a few interview eps with subject scholars, and that's fun too.

History of the Crusades, Sharyn Eastaugh. Similar format to the above. She takes about 4 episodes to really hit her stride, but it's worth it.

I'm pretty picky about my podcast listening. I'd much rather listen lecture-style podcasts than interviews or discussion style casts. It's just a thing. But hopefully you'll like these two.

If you've come here to recommend Dan Carlin please first read this previous thead in which our contributors discuss some of the issues with his podcast, and why we are wary of anyone recommending it on AskHistorians.

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