From Storm in Heaven:

Everyone knows that Yugi Nonoka is crazy. Her classmates have ostracized her and her teachers have given up on her. Yet, while Yugi may seem messed to the world, she has a disturbing knack for knowing the messed up crap that other people are hiding. And she has the power to do something about it...

From Yen Press:

A Japanese cell phone game called Rabbit Doubt has gone viral in Tokyo. In it, players are rabbits who must do everything in their power to uncover the wolf in rabbit’s clothing before it kills them off. The wolf, a randomly selected player, must use his wiles to create mistrust among the rabbits and knock his adversaries off one by one. When five fans of this game decide to meet offline for fun, the last thing they expect is to lose consciousness and wake up trapped in an abandoned building with a corpse strung up in front of them, a mysterious barcode tattooed on each of their bodies. Will the virtual friends be able to pull it together in the real world and figure out what’s going on in time to avoid ending up the wolf’s dinner?

In the horror of witnessing so many classmates perish before his eyes in a violent train wreck, Teru discovers two survivors in the tunnel: Ako and Nobuo. But salvation from this bloody carnage is far from their grasp. As they try to dig out from the wreck in order to come up with a plan to stay alive, the lack of light and food, combined with the stench of death and decay, will lead one member of the group down a dark and demented path. And with sudden, violent earthquakes shaking the tunnel, escaping to the outside world may lead them to an even greater danger.

Won the 21st Kodansha Manga Award for general manga in 1997.

From SCX-Scans:

Angela wakes up in an abandoned warehouse. Confused and dazed, she has no memory of her past or any concrete idea about how she got there. Through a series of seemingly inconceivable events, Angela learns that she has been chosen as the next vessel for the great demon queen. The only thing preventing the queen from taking over her mind and body is her virginity. Will Angela be able to avoid temptation or will the Demon Queen Lilion be unleashed to ravish the Earth?

This is again the 3rd Continuation of the series "Mayonaka no Jewel"!

Story 3 - Kake x Ochi

Story 4 - A Transient Mermaid In Love

From Horobi no Michi: Astarte and Towa are two girls who act as "Undertakers," people who deliver the final messages of the departed to their loved ones. In addition to trying her best at her job, Towa is also attempting to deal with her growing feelings for Astarte, and there's also the question of their shared past... Note: On hiatus

Haiba Sumio is a student at a Tokyo High School with an interesting ability... He occasionally falls asleep and wakes up with premonitions of the future written out on his "Dream Diary". With this ability, Sumio helps out people in trouble before anything bad happens, until one day when his peaceful life completely changes.

Continues the story of Dee, Ryo, and the rest of the gang in the 27th precinct of the New York police department. A new crime, new faces, new clues, and new loves can all be expected in this thrilling sequel!

From Viz:

Ian and Rin used to just see spirits. Now Ian is one. Using the Fairy Cube, Ian must figure out how to stop the lizard-spirit Tokage from taking over his life and destroying any chance he has of resurrection.

V.3 contains an unrelated short story called

• Psycho Knocker
Ashina Tomo is your average school girl who somehow constantly has terrible images of a train accident. One day, on her crush’s birthday, her best friend brings her to an isolated print club machine which is rumored to allow prayers to come true. What would happen when your prayers come true, but not the way you want them to be? By a cursed print club machine nonetheless.

This series has been on hold many times, and now the author has decided to stick to volumes instead of serializing. From Tokyopop: Welcome to Faeries' Landing, a place where the real world and the faerie realm collide. Sixteen-year-old Ryang doesn't realize that supernatural beings descend on his town at night, but when he stumbles on a group of faeries bathing, he ends up becoming guardian of Fanta, a grounded--and very fetching--faerie. Having an otherworldly babe hanging on you 24-7 doesn't sound so bad at first... but when Fanta’s rival curses Ryang, he is destined to encounter 108 doomed relationships...

During an investigation, private detective Amaki comes across Kou, a man with a mysterious aura about him; a man with strangely sharp perception and eyes that shine like a beast’s. Since his meeting with this man, for some reason wild creatures that are not supposed to inhabit the city keep appearing around Amaki. Who is this Kou?

From [RC-SCANS]:

Shin-Young abruptly wakes up from a nightmare just to find a man, named Ji-Hoo, sleeping in the same bed. If that wasn't bizzare enough, the two of them find out that they were engaged ever since birth. Was it a mere coincidence or was it a work of fate that has not yet finished...?

In the future, the world is managed by a network called the Fractale System. A boy named Crane is living an aimless life with his parents, who are actually computer-generated "Doppels". One day, he runs into a pretty girl named Furyune, who is being pursued by someone. When he rescues her and helps to keep her hidden from her pursuers, he is pulled into her troubles as well. After meeting her, his life will never be the same!

An anthology of oneshots.

Story 1: Promise by NISHI Keiko

Story 2: They Were Eleven by HAGIO Moto

Story 3: The Changeling by SATO Shio

Story 4: Since You've Been Gone by NISHI Keiko

The two stories by NISHI Keiko were also published as a separate book in English called "Promise." Those stories were originally taken from "Mizu ga Kooru ni Naru Toki."

Read this to find out why the book was pulled off the shelves.

Mariel Imari is a private eye trying to become a first-rate detective to be able inherit her late father's estate. For some strange reason, the mysterious thief Vecchio is taking an interest in her. As if that wasn't enough, her old friends at Interpol and her siblings make life more troubling for her.

Their city is filled with criminals and three incredible high schoolers. Yugo, Rikiya and Tasuku are determined to clean up the city with whatever means necessary, even if that means using violence.

During a typical night of wiping out gangs, Tasuku comes across a beautiful girl held prisoner. She helps him survive what would have been a mortal wound by allowing him to see the future. Tasuku takes her home where he finds that her name is Noah, she doesn't speak at all, and has no memory. Even more fascinating to Tasuku, she bears the same tattoo as the person he has been searching for years for.

From Tokyopop:

Yuuki is an energetic teenager who carries the disturbing power of foresight in her dreams. She finds that this is tied to the mysterious Deep Sleep that has overtaken her sister, Yuuka.
Clues left on her cell phone and visions that come to her in her dreams begin to reveal a strange puzzle... and then in one dream, a glass wall stands between her and her sister while a faceless little girl stands by Yuuka. The mysterious girl hands Yuuki a kaleidoscope--which Yuuki discovers she still has when she awakens from the dream the next morning...

From Sweet Indulgent:

To a person, ?life? can be?
a picnic on a sunny Spring day,
or a battlefield on a freezing Winter day?

For some, it can be like heaven?
Or for some, it can be like hell?

A Tokyo Ghoul spin-off about the ghoul investigators Arima and Fura during their high school days.