Urushiba Rinka was a fairly normal high school girl, though she was a bit poor and her only family was her father. Then one day, she saw a penguin and some glowing fish swimming through the sky. Rinka might have thought it was a hallucination if there hadn't been another witness with her, a boy from her school with a strangely scratched-up face.

Contact with a fish caused her to pass out, and when she awoke, she had developed the power to move through inanimate objects... such as the floor of her apartment! Later, a call from her father showed her that she was not the only one the flying fish bestowed with hard-to-control superpowers! What exactly is going on here? And does Rinka's classmate know more about this situation than he's letting on?

(Source: MangaHelpers)

A Boy-Meets-Girl story between Ookuni Raise, a high school boy who was left to fend for himself by both his parents, and the transfer student girl, Mikami Kamika. Due to an unfortunate incident, Raise ended up rubbing Kamika’s breast, which in turn led to her suspicion of his being a molester. Starting from their worst encounter, the tale unfolds as they were flown into a mystical world.

From Entropy:
While many of us will probably scream at even the thought of a ghost being near us, Freshman Nimura Kensuke just thinks of it as a common everyday thing, seeing as how he has the uncanny ability to see so many of them on a daily basis. Things soon heat up for him when he meets a girl who changes his life from then on. Her name’s Kagura, and she has the power to summon a mighty “spirit devourer”–otherwise known as a “Ga-rei”–called Byakuei. So, what’s Nimura to do? Chase down the evil spirits and and have Kagura summon the Ga-rei to devour them, of course! Now, come feast on their adventures like some ravenous Ga-rei!

-Please note at Entropy's request the first set of chapters have been removed if you would like to read them please visit Entropy's website <3

When Tokyo ESP meets Ga-rei...

The stage is Kyoto. Takiguchi Tsuina is a girl possessed by a curse that brings misfortune upon all those she falls in love with. Such a girl falls in love at first sight with the newly transfered Mikado-sempai, who is in fact an exorcist of the Department of Prevention of Supernatural Disasters. In order to walk along the same path as the one she loves, Tsuina becomes an apprentice of the wandering exorcist, Izuna.
(Source: MU)