This isn't on Spotify it's YouTube but watch The Why Files dude, you'll thank me. Area 52 as well, that's more of an actual podcast, and you might be able to find it on Spotify.

Edit: shit you wanted ghosts, not aliens. Well, aliens is what you get.

“Otherworld” sounds almost exactly like what you’re looking for. The only difference is that not every episode involves ghosts, its a general paranormal show so theres episodes on ghosts, cryptids, aliens, etc. Love that podcast and highly recommend it

The Confessionals is my favorite podcast. It always has been. Especially the Secret Enochian Technology Episode. But I actually work with the podcast now as one of the moderators for their social media stuff. This isn't why it's my favorite, haha.

The more recent episodes are a lot more Christian related, which I also like, but if you aren't necessarily into that then there's a lot of other subjects covered on the show.

Why files is awesome 

Burry Creatures has some paranormal stuff. 

I like Astonishing Legends but I haven't listened to them in a while. 

The Black Tapes is on Spotify.

Also check out Coast to Coast.

I used to listen to Haunted AF! They tell other peoples stories

Monsters Among Us! Highly recommend. Its a "Call In" style podcast with real people telling you about their actual paranormal experiences. The narrator is great, too. 

Also, "Lore" is a really good informational type podcast on spooky stuff. The first few seasons are great. 

The "No Sleep Podcast" is great too for fiction short story type spooky things. Try Season 5, episode 25. I listen to this one EVERY halloween. Its sooo good. 

Black Tapes was so good, all of the PNW Stories are pretty good. 

Mostly fictional, pretty good though.

It's an older one but still very entertaining. The ParaPod is where a believer in ghosts and a sceptic take a look at the world of the paranormal.

And the sceptic is correct every single time.