Gakkou no Kaidan

the first few episodes (and some of the ones after) are about haunted school buildings in Ghost Hunt, similar to the one in Ghost Stories. are both about those that "destroy" ghosts, though Ghost Stories is a lot more comedic in the English dubbed version.  

Horror! Mystery! Adventure!! Ghost Stories is an anime highly similar to Ghost Hunt based on plot. Satsuki and her friends discovered ghost and spirits throughout the story and try to figure out how to get rid of them etc. Both are highly enjoyable and definitely resemble each other in the style such as ghost and mystery.  

It is also about ghosts or youkais and exorcising it  

Both shows deal with a group of strangers soon to be friends, dealing with various supernatural ghost problems happening across a variety of places.  

Similar settlement of incidents with classic and modern Japanese spirits, curses and ghosts. 

The protagonist in these both find a book that was used to seal demons. The monsters are based on Japanese ghost stories. In Natsume Yuujinchou, the main plot was to release captured demons. In Ghost Stories the protagonist accidentally releases all the demons sealed in the book, and needs to find and reseal all of them instead. Both the mascot characters that help the protagonist is a demon in the shape of a cat. 

Extremely similar stories~ almost annoyingly similar. Both protagonists have inherited a book containing the names of the youkai their grandmother/mother fought, with the slight difference that in Natsume Yuujinchou, the boy wants to release those youkai, whereas in Ghost Stories, the girl releases them by mistake and tries to seal them again. They are both helped by strong demons which get by in a cat form, called Madara in Natsume Yuujinchou and Amanojaku in Ghost Stories.  

Almost same type of plot, just one is supernatural slice of life, other is mystery and horror. Youkai hunting, diary/book related to youkai left by elders, demon disguised as a talking cat, MC possessing occult power- there are so many elements similar between these 2 shows. 

-Both protagonist have inherited a book that belonged to their late mother/grandmother which contained the names of yokai whom their grandmother/mother fought -Both protagonist are helped by a strong yokai who is feared and respected in spiritual world 

Recommendation based only off dubs* Both took the original show and completely changed the script for the english dub. Both dubs are quite funny and somewhat inappropriate. If you liked the funimation dub of shin chan definitely check out the ADV dub of ghost stories.  

The funimation dub (and not the other 2 dubs) of Crayon Shin-Chan has the same type of off the wall dark humor that the infamous dub of Ghost Stories has, as well as the dated references and sarcastic edge. Honestly, I'm not entirely sure why more fans of high quality dark humor aren't aware of the funimation dub of crayon shin-chan. Unfortunately, only 80 episodes out of over 1000 (!!!) have been dubbed by funimation, but that's still considerably longer than what Ghost Stories got. So if you're looking to satisfy that South Park style of humor itch in your brain, the dubs of Crayon Shin-Chan and Ghost Stories should be on your list. read more 

It's the same plot, only that in this anime it happens in an old school and the kids get the answers from a diary. 

Both feature a bunch of kids experiencing ghostly adventures in a small town. However, do not underestimate these shows simply because they cater to kids. In their own way, both shows serve their purpose in scaring the audience. Kaidan Restaurant makes use of the slice-of-life story-telling which lets your imagination run freely (and against you). Ghost Stories uses scary animated scenes, which despite the quality, works pretty well. In Kaidan Restaurant, the stories are narrated by the friendly spooks themselves while in Ghost Stories, the kids are aided by a reluctant supernatural sidekick. Yet, the audience gets drawn into the tales anyway. 

I think this anime's humor is the closest to that of the beginning of the ghost stories dub, so if you miss the humor, I would recommend this. 

Ghost Stories' notorious English dub contains offensive humor and witty satire. Granted, this show's original material was not meant to serve as a vehicle for dark humor, so most of the humor derives from the writing. Still, if you want to get a taste of anime with a sense of humor emblematic of the early 2000s, this is a bastion for black comedy. 

the main character is a little girl who has spiritual abilities each episode shows a different ghost 

English writers threw out the Japanese script and decided to go full comedy regardless of where the story goes. The result is a dub tailored to native English audiences that will laugh at the silly humor and jokes made seemingly at improve by the voice actors. 

Group of school children and a supernatural entity fight spirits in a haunted school of mysteries. Both nail the genre of dark comedy in very different ways.