Mike Duncan did a great podcast on Rome from its founding until the fall of the Western Empire, "The History of Rome". His current podcast is "Revolutions", which has covered the English Civil War, American Revolution, and is now on the last few years of the French Revolution before he wraps that up with the Coup of 18 Brumaire. The Haitian Revolution will follow that.

The episodes are about 30 minutes each and are presented in a narrative format. It's a great entry to these subjects.

The AskHistorians Podcast has rather in-depth discussions on a variety of topics. Flared users of this subreddit are the guests and hosts.

Here's a thread from two months ago to get you started, there are lots of good suggestions in there.

We should probably put something about podcasts in the FAQ somewhere given that it comes up relatively regularly.

really /u/kirjava13 's link is the best place to go but otherwise: backstory is amazing, history of england, history of Britain, History of Philosophy (great and run by a philosophy professor), in our time (and in our time: history which is the backlog from 1999 to 2011), Mike Duncan's stuff, "Topics in Korean History" was pretty interesting especially when it stuck to a chronological approach and "When Diplomacy fails" (each episode is about 1 hour) is a nice european wide look at the early modern era (at least when it finds it's legs) which is nice and not something you get in the overly broad survey classes.

I like the bulgarian history podcast give the narrative places bulgaria at the center instead of byzantium but it's not all that far along

Stuff You Missed in History Class, from How Stuff Works. They do 30minutes episodes (weekly I believe) about just "little" stories they come across or fans suggest. More on the HILARIOUS side, The Dollop, with Dave Anthony and GARETH Reynolds. This show is AMAZING and, as previously stated, hilarious. Both guys are great comedians. Basically Dave reads/tells a story (usually of American History) to his friend (Gareth) who has no idea what the topic is about! They're usually about an hour and a half long, bi-weekly. Occasionally they'll do what they call a Smallop, which is a short episode (usually about 45minutes). They're amazing!

Relevant question, i just started listening to hardcore history apbut i can only get access to the ones about the mongols, WWI and manifest destiny. Does anyone know how i can get earlier podcasts?

I'll add The Civil War (1861-1865): A History Podcast, The Maritime History Podcast, and The History of WW2 Podcast to the list.