Okay, my suggestions for adventure would be:
The Adventure Zone: An actual play fantasy-ish type podcast that has adventure and humor; the first arc, Balance, has an ending, though they sometimes do one-shots at live shows. They’ve done another arc, that I ended up not liking so much. Their current arc, Amnesty, is also going to be finishing soon.
Arcs: Another actual play fantasy podcast that seems to be quite fun.
Brute Force: Another actual play podcast.
Dark Ages: This is like… an office comedy mixed with fantasy.
EOS10: Sci-fi comedy podcast… Kind of like Scrubs in space, but a little more chaotic. One of my favorites.
Girl in Space: The title says most of it, actually. A girl in a spaceship; the only movie she has is Jurassic Park. Then, one day, she sees something coming toward her in space.
The Hyacinth Disaster: A mission to help another spaceship goes poorly (has an actual ending)
Liberty podcast: This one kind of spans a lot of genres, so I guess adventure is the best category?
The Monster Hunters: A comedy adventure podcast featuring Roy Steel, ex-big game hunter, and Larrimer Chesterfield, a brain in the shape of a man. It has a very ‘60s/’70s feel to it. The guy who voices Roy Steel sounds like the guy who plays Douglas Reynholm from The IT Crowd, which amuses me to no end.
Moonbase Theta, Out: Check-in logs from a member of a moonbase colony.
The Penumbra Podcast: There’s a few different arcs to this podcast. I remember one is about knights and one is about a private eye on Mars.
The Strange Case of Starship Iris: a sci-fi mystery/comedy!
Tides: A scientist researches a new planet, sci-fi/audio drama.
Time Bombs: a short audio drama that was completed in the span of a week, by the people who created Wolf 359. Has an ending. Is about people who defuse bombs!
Victoriocity: a Victorian mystery/comedy
Wolf 359: Another one of my absolute favorites! Three people on a space station orbit a star named Wolf 359. Lots of comedy, but definitely a fair amount of drama and mystery.
The Blood Crow Stories: This I think is on its third arc, and each one is a different story.
The Infinite Bad: Another actual play podcast that has an actual ending.
The Insomnia Project: a horror/comedy podcast about people doing research into a medication that eliminates the need for sleep.
The Lost Cat Podcast: Not horror-horror, more spooky-horror. A man searches for his lost cat in various circumstances.
The Magnus Archives: This started off as kind of spooky/scary story per episode, but built into a whole storyline of a larger horror mystery. It’s fantastic.
The After Disaster Broadcast: A group of women working to survive following an apocalyptic volcanic eruption.
Blackout: What happens to a small town when the power goes out and communication with other places is cut off. Just finished season one.
The Bunker: A weird post-apocalyptic podcast; it advertises as a breakfast radio show for the post-apocalyptic generation. This one is a finished podcast.
Directive: A man is charged with taking care of passengers sleeping on a trip in space for 20 years. This one has an ending.
Earth Break: Aliens take over the earth and one woman fights to survive, which is made more complicated by… additional circumstances. Has an ending.
Liminal Apocalypse: Five people go to a shelter, following warnings of a possible apocalyptic attack. I’ve just started this one.
Still Lives: A small group of people working together to survive following an apocalypse that killed all other people on earth hear a knock at the door. Has an ending.
SAYER: A super-advanced, self-aware AI communicates with new residents of Earth’s second moon, Typhon, to help them acclimate to their new environment.
Scenic Byways: I’m not totally sure this is apocalyptic, but it gave me those vibes. A trucker records his travels as he goes through a strange, almost mythical country. Has an ending.
We’re Alive: This is a HUGE podcast. It’s been going for a while. There’s several arcs of it, and they’ve just started a new one. It’s about surviving the zombie apocalypse.
Windfall: A sci-fi podcast about a world that’s been taken over by an alien queen, where people are split between those who live high enough to see the sky, and those below.
Paranormal podcast recommendations:
The Box: A girl working at a bookstore finds a box with all kinds of weird, fantastical and sometimes horrifying stories. As she researches them to see if they’re real or fictional, weird things begin happening to her, too.
The Bright Sessions: People with powers (time travel, mind reading, teleportation, etc.) have a lot to deal with… let’s listen in on their therapy sessions! This one has a first “arc” that’s ended, but they sometimes release new things.
Carrier: A semi-truck driver picks up a loaded trailer that comes with very specific instructions, but no idea what’s inside. This one just finished.
King Falls AM: Another favorite of mine! An AM radio duo talk to the good people of King Falls as all sorts of interesting, paranormal things happen around (and eventually to) them. Drama and comedy!
Unwell, A Midwestern Gothic Mystery: A daughter moves home to take care of her mother, following an accident. Her mother runs the town’s boarding house, and all manner of interesting weirdness occurs there.