I have a bit of a habit. These are some of the better ones that I'd recommend.
Ones I recommend
Audio Drama:
There is a really rich ecosystem of audiodrama podcasts out there. It's my favourite type of podcast by far.
Wooden Overcoats - Sitcom about the only funeral directors on a small channel island, who are suddenly joined by competition who are good at their job
The Bright Sessions - Like X-Men, but from the point of view of the Psychologist who has to councel people who've discovered their abilities and have to deal with the social fallout
SAYER - Kind of like portal? Darkly funny with horror elements. About an all powerful AI that runs a space station owned by an Alien franchist-style company.
Girl in Space - Space mystery; story of a girl in space. Well acted, very good.
EOS 10 - Like Scrubs in space
Death by Dying - Like if Dougla Adams wrote Dirk Gently but with dirk being an obituary writer and the setting being Nightvale (as in the podcast Welcome to Nightvale)
The Magnus Archives - Not quite as well recorded but well written. X-Files style monster-of-the-week horror stories with an overarching plot threading the series together
The Truth - Very well acted and recorded short audio fiction
Earbud Theatre - Similar to The Truth, more focus on horror
The Orbiting Human Circus of the Air - Just... A really nice, if occasionally emotional experience. Magical realism from a radio station at the top of the eiffel tower
The Phenomenon - Based on the book of the same name. Well acted, a mystery about a global phenomenon that kills people by just looking at these... things. Do not look outside. Do not look look at the sky. Do not make noise.
Ars PARADOXICA - Time travel story, gets a little complicated toward the end. High drama; deals with the effects time travel has on people. An attempt to follow a mostly-realistic idea of how time travel might work.
Our Fair City - Wacky comedy about a dystopian future where everyone lives under the ground in an old insurance company. Civillians are known as 'policies'.
Politics:
I like to stay updated, if anyone can recommend something mroe europe focussed (that isn't Novara) though I'd appreciate it.
Novara Media - I was a the UCL Occupation with these guys, nice to keep up with them. Glad they're doing well.
The Antifada - Nicely produced, american-centric anarchist news
The Bugle - Very liberal political comedy. Good for a laugh.
Nonfic:
I like the odd specialist interest show
Darknet Diaries - Interesting short programs about hacking and computer security.
Ear Hustle - Podcast about living in prision, produced mainly by prisioners themselves.
Hardcore History - 3-4hr + long epic episodes that make up multiple chapters about a historic period. Good but looooooong.
Interview Format:
Not a fan of interview shows in general. But I listen to a couple
The Adam Buxton Podcast - If you like Adam Buxton you'll enjoy this.
Rantbox TV - Subculture centred around the UK mostly. I was on an episode so I'm invested.
Actual Play:
Very nerdy - people playing tabletop RPG's like D&D. In general I'm more interested for story as I don't really play these games.
The Adventure Zone - Very funny, very tongue-in-cheek. The actual play podcast I'd recommend for people who've never tried them or even have a passing interest in RPB tabletop games.
Rusty Quill Gaming - By the people who do The Magnus Archives. Nice sound design, less boring than most D&D/D&D-like podcasts.
Spanish Language Learning:
I'm learning Spanish, go figure
Duolingo Spanish - Really well produced shord stories in spanish and english. Reportage with a language learning angle.
Music:
I could really do with some more of these that are more focussed on upcomming music, especially alt-rock/punk/etc in the UK.
Punks in Pubs - Interview format, held in pubs, mostly with established musicians. However they plug up-and-comers. My band's going to have a spot on a show in December!
If There is Hell Below - Sadly no-longer releasing on RSS - making it not a true podcast - so I can't listen. New music from mostly indie labels presented by two best mates.
The Curator Podcast - Longform interviews by a scot talking to mostly mid-level established artists.
Open MetalCast - Discontinued; a podcast that plays CC licensed metal music.
Edits:
Adding links to shows for easier reference.
I'm thinking of taking the best shows and turning it into searchable database a bit like the film recommendation system I made for my wife:
Movies for Bees
beeflix.gaffen.co.uk
Considering I listen to so many it could be a good idea