The Rest is History is a fun history podcast.
I also like Today in History with the Retrospectors.

Definitely not disturbing!

Well There's Your Problem Podcast. They do have a news segment at the beginning of each episode, but you can skip past it if you want to.

Pendejo Time.

Jake, a recovering cokehead, trauma dumps about his time as a drug addicted fuck up and his dead father while his friend Thomas grunts out his fever fantasies about talking animals while googling different types of dicks.

Scratches the same itch as cumtown.

Since no one else has said it... 80 days podcast:

80 Days is a podcast dedicated to exploring little-known countries, territories settlements and cities around the world. We're part history podcast, part geography podcast and part ramble. Each episode, we'll land in a new locale and spend some time discussing the history, geography, culture, sport, religion, industry, pastimes and music of our new location.

A History of Rock Music in 500 Songs - This is one of my favorite podcasts, but I'm going to warn you it's not for everybody. The creator of this show, Andrew Hickey, is THOROUGH. A great example is the most reason episode about Hey Jude. Either you will love the concept of a 3.5-hour episode where 80% of the podcast is not about the song but rather the circumstances and lives of The Beatles, Yoko Ono, and the late 1960s music scene leading up to the creation of Hey Jude, or you will be furious that so much of the episode is about stuff that isn't the song.

The History of Rome by Mike Duncan is amazing. It's a decent commitment but once I started I ate it up.

"Tides of History" a mix of scripted episodes and interviews with archeologists and historians.

Ologies is very good. Every week they pick a topic and sit down with an expert in the field, from penguins to vampires to apples to near death experiences to sea worms, and everything else in between.

Explore artistic photography - The Candid Frame
Explore the wine industry - I'll Drink to That
Explore good food and cooking well - The Splendid Table

honorable mention:
Stay Tuned with Preet
Beyond Organic Wine Podcast
The Art of Manliness

I like Short History Of…. It’s written well, interesting from the first sentence, and read well. The topics vary widely, so you have plenty to choose from.

Also The Soundtrack Show might be interesting for you, not sure if that fits your needs.

You probably already know about him, but Andrew Huberman is doing an amazing job on bringing science back to the people.

Sleep, motivation, exercise, mental health... everything in the context of neuroscience so you start understanding a bit more everything that happens to you. Protocols to follow, fully explained and backed up by scientific papers, all for the sake of your health. Amazing source of information.

Not sure if it would appeal or not, but I've spent a good chunk of this year listening to How Other Dads Dad by Hamish Blake, here in Australia. Just a semi-light-hearted look at dadding in the 21st century.

Science and Tech:

1-Stuff you should know. 2-Skeptics guide to the universe. 3-Programming throwdown.

Gaming:

1-Get played. 2-Triple click.

Comedy and movies and music:

1-Comedy bang bang. 2-How did this get made? 3-With Gourley and Rust. 4-Bizarre albums.

Other:

1-Scam goddess. 2-Qanon anonymous.

Helps you sleep:

-Sleep with me.

Pod Yourself A Gun/Pod Yourself the Wire - a rewatch podcast of The Sopranos and The Wire hosted by a pair of comedians and a guest where they go through each show episode by episode.

I like the Triple J Dr. Karl podcast for easy listening. Basically people call the radio and ask science questions.

The Blindboy Podcast. An artist from Limerick delivered a mix of sizzling hot takes on a variety of topics, reads short stories from his books, lives interviews with range of interesting guests, or talks art, psychology, creativity and what not. Can be quite eccentric at times .

I used to love Reply All before Alec Goldman's shenanigans (awful behavior) came to light. So it was a real bright spot for me to find that PJ's pod has almost everything I loved about Reply All. He's willing to pursue things past the point any reasonable person with a job would and I love it. If you want a deep dive about whatever rabbit hole that takes his interest for the episode, it's a great place imo.

Search Engine http://www.pjvogt.com

RSS address: https://feeds.megaphone.fm/search-engine

NOTHING SEXUAL

The Dork Forest, the host invites on somebody to talk about whatever they are really in to. It's ranged from a comedienne talking about comedy, to a pen and paper Marvel/DC super hero RPG history/mechanics, to the Sailor Moon anime series. Its pretty chill and usually a decent listen.

The Past Times, its by the two hosts of The Dollop. (Sometimes Dave and/or Gareth will get wound up and stuck on a bit that can get cringy as it goes on too long.) Dave gets a newspaper from some point in the past and Gareth and whoever they've invited on just riff on the headlines, the content of the articles/advertisements/classifieds, etc. A bit hit or miss, but its decent for having on in the background where you aren't really trying to pay too much attention to it.

The Dollop is alright. Dave reads stuff about an historical event or person to Gareth and sometimes a guest. Everybody riffs on it. Sometimes the jokes are a bit gross and go on for too long. I'd recommend their sports episodes as a person who is not interested in the watching or playing of sports but I do find myself amazed about the history behind leagues, games, competitions, players, coaches, owners sometimes. Some of the episodes can get pretty dark due to the subject of the episode though.

It ended quite a while ago but, The West Wing Thing, is a pretty long series that follows a popular USA TV series "The West Wing" and the slow descent into maddness by the two hosts and their guests as they watch (almost) every episode and discuss what they watched.

Go Fact Yourself is my favorite podcast. It's a quiz style podcast where two (usually minor) celebrities come on the show and answer questions about 3 topic they choose for themselves that they are an expert in, but outside their field of work.

It's very interesting to hear these successful people talk about things they're not really known for, like the music they love, or a movie or sometimes niche topics like marathon running.

Now the really interesting part is they bring on special guests who are experts in the chosen topic to award the points. The guests that they get for this are the real treat of the show. First, you have someone showing off about how much they love a topic, then they get someone really involved to give great in depth details! For instance, someones topic was the Evil Dead movies, and the special guest was Bruce Campbell! He was so awesome to hear talking about the movies. The experts are almost always awesome, from movie directors to the songwriters for Frozen, to book writers on the topic, they're almost always amazing to listen to.

There are a couple of other segments of the show that are also well done. There's a "what's the difference" round that always makes me think. Like, what's the difference between a graveyard and a cemetery? Or what's the difference between roasting and baking?

The hosts are great fun too. J. Keith is the master of punny segues, and Helen Hong is a pretty good co-host. All in all, highly recommended!

"our fake history" is a pretty good match to what you're describing. It's a relatively light hearted, rigorously researched, history podcast with a focus on misunderstood historical figures and events.

"The plastic plesiosaur podcast" is a really fun podcast more focused on cryptids and pop science.

One of the host to plastic plesiosaur has a YouTube channel called "trey the explainer" which is worth a watch.

And if you like low key, entertaining deep dives into machining or tech, check out "technology connections," "this old Tony," and "tech moan."

This Podcast Will Kill You - this podcast is only disturbing if you find medical issues disturbing. Each episode discusses a disease, medical issue or some kind of medical history. I think it's really interesting.

Hidden Brain - goes into a bunch of different topics about how we see and interpret the world. Very well done.

You're Wrong About - talks about popular misconceptions and such.

Science VS - Talks about science stuff in a fun and entertaining way.

People already mentioned Behind the Bastards and I really like that one but it can be hit or miss. Don't start with the newest episode, instead look for one that sounds like an interesting tooic to you and start there. When it's good it's very good.

History of the World in Spy Objects - ok I actually just found this one and haven't had a chance to listen to an episode yet but it looks good and sounds like it might be interesting to you.

Lore - it's very well done about dark historical takes