From Aerandria Scans:

Karashima is a high school boy with a beautiful voice. So beautiful that he can make anyone do anything, just by saying the words. Because of his potentially dangerous ability, he distances himself away from people but soon finds himself in the middle of various criminal investigations that he can help solve, and a girl named Kokubu who seems to be in love with him.

From In.Difference:

Kazuka is your average high school girl with the exception of having an irregular and calm personality. She wakes up one morning slightly later than usual to find a red thread attached to her finger…

And for her, it isn’t “who” is at the other end, but “what” should she do about it…

From Aerandria Scans:

I suddenly lost my parents. Without a single relative, I must return to my father's birthplace, a village, where I can finish school. But I still cannot recover from the sadness. I am lost in doubts and insecurity. And then, on a mountain road, among the lush greenery, who do I chance to meet..?

1) Yurusarenai Otoko

2) Aishiatteru Futari

3) Seigi no Mikata no Koi no Yukue (Love & Battle)
Seigo, who grew up in a village, moved to Tokyo to find a job and to fight crime (apparently he has some strange superpowers), since not much happens in his village. One day his childhood friend Touma visits him and challenges him to remind him of his mission. At least that's Touma's claim...

4) Kanoko's Story

Note: Chapters 1-3 are shounen ai stories while chapter 4 is shoujo.

From Midnight Scans:

Kyouko has always been alone. Her parents are always at work and she has no friends around her. One day, she found Lucifer who claims to be the Prince of the Underworld in a garden. After being rescued by Kyouko, Lucifer has decided to stake his claim on Kyouko as his wife. But why is Ishii-kun, the guy whom Kyouko confessed to suddenly wants Kyouko for himself?!

From HaruHime:

Due to her ability to tame demons, Mel has been persecuted as a witch all her life. One day, she's summoned to the castle and asked to marry Prince Claude. But Prince Claude is actually...!

Contains an Extra.

From Aerandria Scans:

Ogura Mayuri is a loner in high school, with a penchant for cooking and magic that her mother taught her. She’s already summoned a little demon familiar to help her with baking and other small chores.
But when she accidentally summons a high level demon named Beaut upon spilling tea on her skirt, he allows her to make one wish that he will grant. Mayuri wishes for the stain on her skirt to disappear in exchange for candy. The demon Beaut is outraged by the simple request, but he gets distracted by the smell of sweets - Beaut’s weakness.
Mayuri now uses Beaut’s weakness to bind him to her and do her bidding.

The story of Garan, a travelling executioner who roams the land, killing bad guys.

Akira is set in the post-apocalypse Neo-Tokyo of 2030, a vast metropolis built on the ashes of a Tokyo annihilated by an apocalyptic blast of unknown power that triggered World War III. The lives of two streetwise teenage friends, Tetsuo and Kaneda, change forever when dormant paranormal abilities begin to waken in Tetsuo, who becomes a target for a shadowy government operation, a group who will stop at nothing to prevent another catastrophe like that which leveled Tokyo. And at the core of their motivation is a raw, all-consuming fear. A fear of someone or something, of unthinkably monstrous power known only as "Akira".

Note: Won the 1984 Kodansha Manga Award for best general manga, won the Harvey Award for Best American Edition of Foreign Material in 1993 and was nominated for the Harvey for Best Graphic Album of Previously Published Work in 2002.

Akatsuki: a powerful demon of illness, which infects victims, turning their eyes red, and slowly kills them. Usually, they take the form of a strong monster connected to the victim's body. The only way to cure the victims infected with Akatsuki is to slash the victim's body with special anti-Akatsuki weapons, known as "Crave." The people who possess and use these weapons are called "Kiri-Isha" (Slash Doctors). Hibiki, the protagonist of this story, is a Kiri-isha. He is partnered with Kirisa, another Kiri-Isha. Their mission is to cure people infected with Akatsuki.

A collection of short stories including

• Allumage
Kumiko left Japan for LA in hopes of becoming a famous actress, but so far has only managed to get jobs as a stuntwoman. Now that her brother is getting married, she's coming back to Japan to visit, but once she arrives, something goes terribly wrong...

From Del Rey: A strange virus is making its way around the globe, causing its victims to commit suicide. In less than a week, it's become a lethal pandemic. But for a unique few, it does just the opposite... They evolve and become "Power Users." Taisuke Kanou and his best friend Hirose both become power users, but Hirose sides with Katsumata, a strange man with no regard for human life. The story follows Kanou as he discovers the secret behind his powers, encounters reporters, other power users, and even the military, as he tries to get his friends back.

She has lots of friends-
but hasn't had that important conversation...

She has a boyfriend-
but there is another girl...

Family too-
Her family... the only connection is through blood.

That kind of average high school girl-
Saitou Aya is suddenly lost in Wonderland!

The white bunny boy talks like a child.
"You are my Alice. Our savior..."
Aya = Alice's "Chosen world"?
Her "real self" is...?

Alice Seno seems like a normal girl in high school. She's a bit shy, she's got a crush on a boy named Kyou, and she's got an older sister who is more popular than she is... pretty normal stuff, until Alice has an encounter with a mysterious and magical rabbit girl that changes the course of her life, and Alice is introduced to the sublime power of the Lotis Words.

From Shoujo Manga Maniac:

Tsubaki Kamui is the granddaughter of a prestigious antiquarian. A mysterious man named Sena Takuto asks for an appraisal on an artifact, one that he stole in order to prove that he is the grandson of the Grand Duchess Anastasia. Is this thief really descended from the house of Romanov? Will Kamui help him?

A sort of horror-mystery, Anamorphosis revolves around a group of people invited to a contest wherein they have to stay in a supposedly haunted set for 48 hours after an evil murderous spirit is summoned to produce a recreation of the murder scene.

Over half of the book features this story and the rest is a collection of bizarre shorts designed to make you go
( ﾟдﾟ)！？

The incredible adventures of Amilova, a teenage girl that discovers her Fire Super Powers ! Action, magic, mysteries, love and humor... A show full of emotions!

There is an ancient government office, which was first founded by Queen Himiko, to deal with difficulties arising from supernatural forces. Even today, that agency secretly exists and deals with curses and other dark forces that threaten Japan.

Kushinata Orochi is skilled in these supernatural arts, and he and his physically powerful sidekick Ayame take on cases that deal with supernatural troubles. Now, they have a very ancient and powerful force to deal with in Kageyama City...

From MangaHelpers:

The story begins with regret, chaos, and desperation. Sora lives with his little sister, An, and his rather comical father. An is the soloist of her school's chorus, and Sora is an awesome cook. Sora prepares his "honki" (serious) bento for his sister's school concert.

Once An begins her solo, a mysterious force creates a rift in reality, as An's existense shatters right before everyone's eyes. Sora runs in to save her, but he too becomes part of this dark ritual. As Sora ends up transported to a fantasy world full of gigantic mushrooms, nothing can be certain on what will happen to these two.

Shiina Amane is special. Her father is an exorcist, and she herself can see spirits. But gifts always come with a price.