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.

The story is set in Japan a millennium from now. Five children: The protagonist Saki, Satoru, Maria, Mamoru, and Shun have been born and raised in a tranquil town that can be described as a utopia, overflowing with water and green foliage. The world is ruled by people who have the "cursed power" or the "gods' power" of telekinesis.
After a certain incident, Saki and the others come to realize the true nature of their world. Before long, they learn everything, including the bloody history that brought humanity to this state. The five throw themselves into life-threatening adventure and fighting to protect friends and a world on the brink of collapse.

Toki Mishiba, Nobuto Nakajyo, and Kazuo Saitoh are hired to play the Biz Game, a game much like capture the flag, only with company secrets and insane amounts of money involved. At first they think it's a crazy but fun way to get some money, but as the game goes on, they hear stories about mysterious deaths on the news, and recognize the victims as members of the teams they've beaten in the game. When one of the losers of a game dies right in front of them, they realize what is really at stake - their very lives! Note: Bus Gamer was originally published in shoujo magazine Stencil, but was later re-drawn and re-published in shounen magazine Comic REX. Both times it was axed after the magazine went under. This is the Comic REX version.

Toki Mishiba, Nobuto Nakajyo, and Kazuo Saitoh are hired to play the Biz Game, a game much like capture the flag, only with company secrets and insane amounts of money involved. At first they think it's a crazy but fun way to get some money, but as the game goes on, they hear stories about mysterious deaths on the news, and recognize the victims as members of the teams they've beaten in the game. When one of the losers of a game dies right in front of them, they realize what is really at stake - their very lives!

It's said that on a prohibited island called "Dragon's Beak" the "power of the gods" resides. Anyone who obtains the power will have all their wishes fulfilled.

SERIES 7: Steel Ball Run
It's the seventh instalment of the JoJo saga and takes place in the wild west in 1890 (about the same time period as the first arc of JoJo).

In the midst of a female-kidnapping serial killer incident, Makoto's best friend Hinano has vanished completely. Desperate to find her before it's too late, Makoto will try anything-- even invoking the resident phantom student of her middle school, Yotsuya-sempai! Surprisingly, Yotsuya-sempai appears to be an actual person. He's obsessed with creating the scariest stories ever, using the people and situations in Makoto's middle school to stage them. Though Yotsuya is mostly just interested making scary stories, Makoto finds that his stories tend to contain a kernel of truth and that they can reveal their terrible truth in the telling. But as Makoto helps Yotsuya stage his tales, can she convince him to tell the story of the whereabouts of her best friend?