"The Red Hook is a super-thief who is bequeathed the omni-fist of altruism and transformed into a hero against his will a year after a sentient Brooklyn's heart is broken and physically secedes from America."

It is the Early Showa Period in the Imperial Capital of Tokyo. Times are hard but there is talk that times were much worse until a certain "evil" was vanquished. Now Tokyo is in the grips of lesser evils and mysterious rumors... Especially those pertaining to the "Byakko" and the "Monster of the Juunikai" ... Just what are they? Are they something to be feared? To be admired? Or more? And when the "evil" returns... Just whose side will they be on?

From MangaHelpers:

There are people in the world who have strengthened their heart and spirit beyond imagination; so much so that they are able to materialize objects just by willing it and its potency is only limited by the users' determination. These people from the far east call themselves the Wazabito and are admired for their power that transcends the physical universe.

Tekuni is a cute Wazabito swordswoman who is traveling the world to train and master her abilities. With her friend Huk-Ro, the owl of knowledge, Tekuni wanders from one danger to another, making friends in the process. [vyc]

— By the author of History's Strongest Disciple Kenichi

Every 20 years, a secretive game is held, in which participants duke it out in a battle royale with sorcery, weaponry and hand to hand combat.Over a hundred different Japanese sorcery associations participate, sending a single Master each to compete. Night by night these participants fight, and take the lives of one another.One participant is Maiko Mizumaki. She enters the tournament in order to save the life of her dear friend, Hino, who has been afflicted by an Anomaly. In order to save the life of her friend she must survive until the end and obtain the strongest Anomaly Sandalphon.

I don't quite get that they call me by tactless name, "vampir." She is all that I desire.

Louis, a vampir boy lived with the Kamuro family as a "brother-in-law" in a home of human being. He had hoped it would last forever, however, peaceful and pleasant days with his beloved sister, Harumu, suddenly collapse with an appearance of another vampir, Noah.

From Dark Horse:
It's a time in the future -- a time where the creation of life itself has evolved to include biodroids named after the ancient Greeks and cyborg warriors programmed to destroy. The power struggle between the various synthetic life-forms and the humans could mean the end of all life. But there is one, named Typhon, who may be able to prevent that.

Students are trained in the Infinite Stratos academy to pilot the weapon system IS (Infinite Stratos). Although it is believed that only females have the ability to operate the IS, there is one man who can. His name is Orimura Ichika.

From MangaHelpers:

Tsubaki Tenji seems like a normal high school boy, but at night he secretly works as a detective! Though he pretends to be kind of dim and clumsy at school, he's very physically skilled, and he fights using 500 yen coins as projectiles. However, he's not working just because he wants to-- he's got to pay off his vanished father's ridiculously large debt. He works for the Muroto Investigative Agency, under Muroto Shino, and alongside Shino's teenage sister, Yuki. He's always sleepy during the day from working at night, but if the school finds out the truth he could end up expelled.

Unfortunately, his classmate Tachibana Kirin caught on to his act. She finds Tenji's true skills to be incredibly cool, and his work to be very exciting. As the price for her silence, she convinces the group to take her on as Tenji's assistant detective. Now she and Tenji are in this dangerous business together! [tethysdust]

Tsuyomaru is a girlish boy while Hazumi is a tomboyish girl. Tsuyomaru is challenged to a fight by a student of another karate school, and while using a training machine operated by Hazumi, something goes wrong and they switch bodies...

From: Easy Going Scans

Among humans they were called wizards or witches.
For the 'Wolf Tribe' they are called 'The Contractors of the Moon'.

For the wolf to obtain 'Moonstream' it must form a contract with an existence between the 'physical world' and the 'eternal world'. The wolf gains great strength to defeat any foe in its way.
For the human, is an opportunity to achieve one's goal, together with eternal life!

Some kind of global catastrophe results in magic working. So now there are wizards, rangers (shape changers), and elf looking people. A remotely posted squad must fight mercenaries equipped with sci-fi technology and magic to find their missing commander.

The corrupted land of righteous people, a fantasy drama that takes place in the Neverlan Continent.

You-Geon, a high school student, is saved from drowning by a mysterious girl his own age. Indeed, this girl is a North Korean agent trained to kill. The encounter which will completely change You-Geon's peaceful life means that this mysterious girl never leaves You-Geon alone for a second worried he might reveal her secret to someone. The atmosphere at the high school will never be the same again...

Pursued by the mob, a young child seeks the protection of White Dragon, a deadly assassin with the ability to disguise his gender, and kill using... water.

From Storm in Heaven:

Kyou is the last of the Puppet Masters, with the power to defeat the Dark Demons that feed on negative emotions. He travels with his two guardian Light Spirits to rid the world of the Dark Demons, knowing that only then will time resume for him. Yet, overshadowing every victory lies the truth behind the slaughter of his clan and the fate of his best friend...

From Anime News Network:
Shion is a young man working for the Onmyou Organization under false pretenses. He is attempting to avenge the destruction of his nation and the deaths of his family members, and targets the Empress in an attempt to destroy her homeland. However, their destinies are in fact entwined, as she not only dislikes destruction, but wishes to unite all of Japan peacefully.

The Sun Knight is a man who has shining golden hair, sky blue eyes, a compassionate nature, and a brilliant smile. He is the spokesperson for the God of Light, the captain of the Twelve Holy Knights, and (some say) the man closest to perfection. Beneath the veneer of the Sun Knight, however, lies a very different sort of character...

Note: PR!'s translation also includes several short stories about the characters as well as an extra volume called "Unbeatable" about how Neo and Aldrizzt met.

Lonely Mitamura may be a teacher at the exclusive Sheol Soul School – an academy dedicated to the afterlife – but he has a lot to learn about human emotions and helping others. In fact, his star pupil Tsuru thinks she’ll teach him a little lesson by running off during a field trip in the living world. Now, Mitamura has only seven days to track Tsuru down with the help of a brand-new (deceased) sidekick. Will the clock run out before they find her?
-DMP

Spunky young alpine policewoman does her best to rescue people lost in the mountains, while trying to come to terms with her father's "death".