Rui, the handsome lead of the popular band Joker Trick, feels a surpassing passion for music that only matched by the lack of love that he feels for any woman he is involved with. Much to the exasperated concern of his band mates, he seems unable to know romantic love at all. When one of them hands him an illicit piece of technology that promises to learn to be the perfect lover, he is reluctantly intrigued. Will this android lover show Rui what it is to love?

From Midnight Scans:

Kureha Mimachi, a 15-year-old girl, has just transferred into Shiritsu Kenhono High School. However, there is something weird about this school, it is actually a school where the Princes and Princesses of the beast-kind go to!

Even though Kureha is human, she is there as a way to help the students lead their lives peacefully with humans and has the role as the "rabbit". Will she be able survive without being eaten by the students? Only time and her hidden bodyguards will be able to answer that...

Shoutaro is a man of few words. He manages a used books store called Mononobe Koshoten and has an efficient young boy named Shiro to help out with the work while he reads the day away. But behind this normal and mundane facade Shoutaro has another job: the collection of some rather unpleasant old books…

Awkward Takara Shinobu has always been rejected for being incompetent, a “dunce”. No matter how hard he tries – with studies or with people – he always fails. And now he’s stuck going to a back-up high school far from home.

Due to a miscommunication, he winds up living in a share-house dedicated to training shougi pros. Introduced to the world of shougi, Shinobu has finally made a connection with people who understand and accept him. However…now he wants to go pro too!?

Tsukumogami: spirits -- or "marebito" -- which have possessed objects of considerable age and gained a physical form. Although he is part of the Saenome clan which is charged with peacefully sending them back to their own world, Kunato Hyouma hates their guts because one took away what was very precious to him. In order to cure him of this loathing, Hyouma's grandfather sends him to live with Nagatsuki Botan, a girl who is the master of six "friendly" tsukumogami and lives with them as a family.

Based on the popular noitaminA anime of the same name, Mononoke is the story of a mysterious medicine seller (Kusuriuri) who traverses cities, villages - and, seemingly, time - on a lone quest through ancient Japan in order to vanquish "mononoke," supernatural entities created when a strong human grudge or desire combines with a type of free-roaming spirit named ayakashi. But his quest is not so simple, as the darkness of humanity is endless and makes figuring out the Form, Truth and Regret of the mononoke - which are prerequisites if he is to be able exorcise them - an incredibly dangerous task which rarely fails to turn up casualties.

Each volume or pair of volumes follows the eponymous arc from the anime:

V.1-2 - Mononoke (Note: this is the adaptation of episodes 9-11 of Ayakashi - Japanese Classic Horror, a supernatural anime in which the medicine seller was first introduced before the arc's success prompted him to receive his own series)
V.3-4 - Mononoke - Umibouzu
V.5 - Mononoke - Zashiki-Warashi
V.6 - Mononoke - Nue
V.7 - Mononoke - Noppera-bou

Because of her family's poverty Yata, a high school student, was searching for a really cheap lodging. And she found it in a certain shared-house type apartment.
Each of the residents of which happened to be, surprise-surprise, some kind of demon (with big mammaries also)! And so the story of a bit lewd, sometimes bizarre and often noisy cohabitation of Yata and others at human world, receiving those big-breasted demon-girls trying to fit in, is getting started!..

This is the story of a girl who works as a performer at sake houses, but who has a unique ability. She has a tattoo of an eye on her hand which endows her with the ability of "second sight," and the ability to control dreams and illusions. Though this often comes in handy, it also complicates her life. She is constantly getting involved in situations with various supernatural creatures, such as animal spirits, kappas, and more.

Ibuki, returning to his childhood town for his grandmother's funeral, is not at all shocked to find that nothing in the little town has changed. Except that he finds out that his grandmother had remarried and that he is now succeeding her as the "Mononokemono."

Long, long ago in a certain land, the world was disturbed by a "demon". The demon was "deformed" and didn't even stand 6 feet tall. His jet-black eyes sank into the depths of hell. The people seeing the atrocious and blood-starved appearance of this "deformed demon", trembled in fear. In the tenth year of the Kan'ei era (1633), during the early years of the Edo period, one such demon still exists...as to why "deformed", the reason will astonish you!

The inside of the taboo door is shattered, or...

Monster weaves the riveting story of brilliant Dr. Kenzo Tenma, a famous surgeon with a promising career at a leading hospital. Tenma risks his reputation and promising career to save the life of a critically wounded young boy. Unbeknownst to him, this child is destined for a terrible fate.

A string of strange and mysterious murders begin to occur soon afterward, ones that professionally benefit Dr. Tenma, and he emerges as the primary suspect. Conspiracies, serial murders, and a scathing depiction of the underbelly of hospital politics are all masterfully woven together in this compelling manga thriller.

Note: Won the 46th Shogakukan Manga Award in the general category.

The daily life of a large family of cute little monsters.

A sad tale of a young boy who comes into a solitary vampire's life and changes him forever.

Losing her mother, Saika is taken in by her foster father and 3 brothers. She ends up having to raise a god until it reaches adulthood.

From Hyper Parfait: Monster Cage, consisting of strange individuals with superior powers and skills, is a secret department that is part of the National Police Agency. But when Japan was unable to cope with this system of law and order, Monster Cage ceased to exist. Those abnormal individuals became unnecessary. They were hunted and destroyed in secret. The escaped monsters wonder if their pursuers will give up… or if they will be destroyed before that.

What did this middle school girl pick up on her way back from school?

From CMX:
Kasche may have a talent for controlling beasts, but she's got a lot to learn about self-control before she can become a full-fledged summoner. When disaster strikes, her principal chooses her to avert it.
Joined by an unusual crew of allies both human and not, Kasche must recapture the relic from an evil summoner before she can use it to unlock the ancient Encyclopedia Verum and call up the most powerful monsters ever seen!