Going to add some suggestions here for people who might not like the radio personalities setup a lot of podcasts have, but don't have a place to start. Would appreciate anyone with suggestions adding on as I listen to audiobooks more than podcasts!

• Parcast Network podcasts — they have several presenters covering a variety of topics (mainly true crime, disasters, cults, myths/legends/fairytales). This is the blandest, no shooting the shit, no radio personalities, formulaic as you can get. Their presenters are all mild mannered toned and the shows generally follow a format with a few variations (ie some of them give some random bullshit pulled out medical diagnosises to criminals, some are more sensationalized "could the killer have possibly been thinking this?", etc). If you don't like how one set of narrators present an event you can absolutely find a presenter you prefer on the network as the shows cannibalize the same stories between each other. Not the most factual podcasts and in-depth is anathema to them, but if you're just looking for something inoffensive on in the background while you do the dishes they work.
• The Other Half — one presenter, short episodes, well-researched women through the ages. This is a sort of sequel to the Queens of England podcast by the same podcaster. Each season focuses on a specific type of historical woman (current season is royal/political mistresses). The episodes are short, focus on the history, there is some modern contextualizing (in the vein of now that it's not 1304 we can recognize getting up three days after giving birth to go tell an invading army to fuck off was a lot of work lol). Mostly though it's just the history.
• Dan Carlin's Hardcore History — another good history podcast that covers a large variety of topics, but the episodes are long. Doesn't make it a bad podcast, but six hours in length isn't rare. Lot of straight history, but also modern contextualizing (like the Romans didn't see executing criminals in the colliseum for entertainment as bad, but in modern times we would view that as very fucked up) and philosophizing (not sure I'd say getting up on a soapbox so much as this was the Roman's philosophy about this, let's follow their schools of thought).
• The Magnus Archives — horror anthology with an overarching story. Very good production values and even if you're not interested in the broader story there's a ton of great creepypasta type stories.
• Tales from the Stinky Dragon — DND play podcast with great production values and relatively short episodes (think they're like 30min?). This is heavily edited to cut out a lot of the parts of DND that drag as a listener (multiple rounds of that's a nat1, going back and forth on plans, etc) so though there's some discussion between the players/DM it's generally pretty snappy and most of the run time is just straight story. That said sometimes they do include tangents where the players meta joke with each other (this is probably the least offender I've heard for this though, if a tangent happens it's usually five minutes at worst).
• We're Alive — zombie apocalypse story podcast. Has multiple shows, several completed, with great production values (probably one of the best I've heard for sound production). This is a radio play style podcast so cliffhangers abound. Being a zombie "story of survivors" many of the characters are probably going to ping obnoxious at first as part of the genre is survivors learning to work together.
• Ruby the Galactic Gumshoe — so this actually was a radio play back in the day, the company has just updated to the present. These are trippy whimsical stories about Ruby, the interstellar detective. It started in the 80s iirc so expect to hear a ton of synth. The stories themselves run on a ton of puns, a quirky crew of heist characters, abstract philosophizing (in a what do robots dream of and colors taste like way) and trippy music to listen to when you're high.
• Myths and Legends — myths and Legends to lofi beats. Super chill, nothing more going on here, does have a lot of ads read by the narrator hard coded into the podcast so even if you pay for your podcasting service you do have to sit through them (not usually an issue since you can fast forward unless you're driving ime).
• Myths Your Teacher Hated — myths and legends, but told in a Badass of the Week style. Episodes are usually one myth/legend and one legendary/folktale creature. Unlike everything else on this list the narrator isn't really a mellow soothing tone type so if you don't like loud voices not a fit.
• Let's Talk About Myths, Baby! — in-depth podcast on myths with a lot of research and modern contextualizing, big feminist bent. The host does soapbox. Mainly listing this because it's the only "I want opinion discussion, but I don't want to hear five people discussing it between talking about what they ordered from Wendy's" podcast I listen to. That said she talks a lot about her research and goes into the various sources she's drawing from and their differences, so if you're looking for in-depth she's a great stop.
• Batman: The Audio Adventures — honestly way better than it has any right to be, kind of an offshoot of 60s Batman and 90s animated Batman. Does the radio play style intentionally and very well. Even if you're not into Batman you might enjoy it as a noir comedy.