From Loyal Kiss:

"Supernatural things don't exist in this world!" Kaho Mira absolutely hates all things supernatural, so why does Hikaru-sempai keep persuing her to join the Supernatural Research Club?! But one day, Mira barely escaped the clutches of the White Rose Academy vampire, Rose. Now, she had no choice but to join the Supernatural Research Club with Hikaru-sempai for help! And they unravel much more about Rose they never knew before...

From: Easy Going Scans

The prince of Szak territory, Iska, was misled and inadvertently released an ancient monster, Nue, while stealing the katana that had sealed it for 400 years! And the first victim of the monster is Iska's own father!

Because of his act, Iska is also cursed by an evil power… In order to make up for his mistake, he will embark on a dangerous journey with the stolen katana, chasing Nue to the end of the world to make him pay for his sins.

The legend tell that the only weapon that can kill Nue is the famous katana “Yukihira” which was manufactured by a demon of the Temma clan. Iska will try to find their village in order to learn more about Nue…

Note: This was originally published in French, hence the category Manfra below.

From Viz:

Kurôzu-cho, a small fogbound town on the coast of Japan, is cursed. According to Shuichi Saito, the withdrawn boyfriend of teenager Kirie Goshima, their town is haunted not by a person or being but by a pattern: uzumaki, the spiral, the hypnotic secret shape of the world. It manifests itself in small ways: seashells, ferns, whirlpools in water, whirlwinds in air. And in large ways: the spiral marks on people's bodies, the insane obsessions of Shuichi's father, the voice from the cochlea in your inner ear. As the madness spreads, the inhabitants of Kurôzu-cho are pulled ever deeper, as if into a whirlpool from which there is no return...

Nina, a wyndian princess, and her guardian Cray are searching everywhere for Nina's missing elder sister, Elina. While traveling to her last known whereabouts they suffer an accident. On her way to a nearby town, Nina meets Ryu, a seemingly amnesiac young man. This meeting triggers a series of events that will involve them with the godly race known as The Endless, immortal dragons with the power to shape the world itself.

Closely follows the storyline of the original game.

From Storm in Heaven:

In the town that Takada Chinatsu moved to, there's a legend about demons called Tsumitsuki that possess the feelings of guilt a person has over their sins. Those who are possessed are slowly devoured, body and mind, as the demon manifests. As one of Takada's friends starts acting strangely, her classmate Kuroe steps in to help... but his true motives are hidden behind a mask.

It’s the early days of the Showa Era. In a really ordinary-looking and peaceful city, no one notices the strange things that are happening. Shinobu, a young man who manages his father’s second-hand goods store, comes face to face with one mystery after another. At some point, these events lead to a story…

From Aerandria Scans:

"There once was a girl with a splendid flower blooming upon her chest."

When Lys was born, her heart did not beat at all. To save her, her mother made a contract with a devil: Lys can borrow his heart until the day she turns sixteen, but after that, he will eat her body. Together with her companion, Siva, someone whom she met by chance in the desert at night, she travels around as a dancer girl to find the devil who sealed her fate. One day, while they were traveling, they suddenly meet an egoistic prince and a ring spirit...

From Infinity Studios: Having been born in a secret government laboratory that cultivated esper (telepathic) powers within humans, Shuuichi and two sisters, Sumire and Katsumi, are forced to endure a difficult life as test subjects until their escape. Years later, these siblings are still being sought after by unknown organizations that are after Shuuichi powers as he is what they refer to as the “zero-sample” with the ability to cause “zero-shock.” Scanlated by Helz0ne http://helz0ne.zone-anime.com

From Aerandria Scans:

In a time when there were swords with spirits dwelling in them, there was a warrior named Hisui with a “Drunken Sword.” With the emperor ordering people to gather these Spirit Swords for him, Hisui spends his every day fighting assassins sent by the emperor and freelance Spirit Swords Hunters who simply want the reward money, all the while protecting his beloved childhood friend, Shirei. However, Shirei might not be what she seems to be...

The shogunate installed by the Tokugawa is abiding order, the people live in peace and in a relative prosperity.

However, the dark part of the human heart does not cease to arouse their cupidity : it is the ideal doorway for all demons that, by possessing humans, seek to pass into their world.

Exorcising these demons is Jonosuke's mission, the master of keys. Known for being the best locksmith of Edo, Jonosuke uses particular locks to put the wicked spirits under lock and key. With the help of the bewitching O-kin, a divine who uses unorthodox methods, Jonosuke is going to meet during his demon hunt some notables of his time, who will prove to be precious allies when he faces a plot aimed at the upper spheres of State.

From Aerandria Scans:

Rinko is an ordinary girl who was born with a mysterious birthmark on her left arm. But when that mark starts to get darker, strange accidents begin to happen everywhere around her, involving even the people she cares about. What will the powerful magic awakening inside Rinko bring her?

In 1987, Purple Eyes in the Dark was awarded the Shogakukan Manga Award for the shoujo manga category.

Later it got a continuation: Yami no Purple Eyes - Bangaihen - PANTHERS.

Atop the mountain, there lived a deity with a tiger in his household. A fair maiden ventured alone... to see the deity of the mountain.

The head of a village plagued by a man-eating tiger offers his daughter Hyeon-na to any man who successfully disposes of the tiger. Dismayed at being treated as a trophy, Hyeon-na sets out alone to the mountain where the tiger lives...

From Shinnen:

There are rumors of a grand treasure located within the local museum of Ashiwara and that this treasure requires a special key to unlock. But no one seems to know what this treasure is or even what the key looks like.

But Kei and Hikaru, two childhood friends, may inadvertently find out when someone seeks to claim the treasure for themselves and that action plunges their world into chaos.

While walking home from work one day, a doctor named Shuichiro notices an angel, Kohaku, stuck on a tree while being attacked by a crow. He rescues Kohaku and, in return, Kohaku offers to grant him a wish. However, Shuichiro is satisfied with his life - he has a decent home, good looks, and a well-paying job as a doctor - so he does not request anything. As Kohaku is honour-bound to grant the wish, she chooses to stay with him in his home, and helps with chores.

From Wasurenagusa:

A shounen-ai version of the Issun-boushi story. Heikuroo is only as big as a human hand and only in the light of the moon he can gain the normal height. Because people think he is cursed, he leaves his village and goes to the capital, where he becomes a guardian of an aristocrat named Kotohira...

Yoshiaki is entering a school that is famous for its fights and violence. He chose to go there for just that reason, and he intends to be the strongest one there. When he first arrives, he helps out a girl called Homura, who is being picked on by some guys. When she asks him to be her "sword" afterward, Yoshiaki doesn't know how to respond. Apparently, students of the school team up in pairs; a "sword" and a "master". Others advise him not to associate with the girl, who is a "Rank F", as she probably won't live very long. However, Yoshiake is not thrilled with the idea of abandoning her to die.

The year is 2008, and Mikuru is a 16-year-old high schooler who often disagrees with her mother Yuki. One day a girl appears in front of her with toughts, memories and body are from 24 years earlier. In short, Yuki has time-slipped from 1984 to the present, and when Yuki wakes up she is shocked to find that the year is not 1984, and that Mikuru is her daughter.

Now both mother and daughter are the same age and living in the same house together, with an older man who is supposed to be her husband. Until when she can return home, the girl who has crossed space-time decides to discover her future.

A girl follows the tradition of her family by testing to be a demon cleaner. During her test a vampire escapes and bites her. In order to reverse the effects of the bite her older brother and said vampire have to go on a demon cleaning job together.

On a trip to look for his brother, a hungry Hachiya Rei stops at a shrine to pray. It is just his luck that he is accused of stealing money from the shrine and forced to work to pay off the amount stolen. However, the real thief turns out to be a daemon, or a god turned evil! An encounter with the daemon unleashes Kagutsuchi, the god of fire, concealed in Rei. As Kagutsuchi's proxy, Rei can use the god's holy fire to purify daemons, but there's a side effect...

A high-school student named Yu Komori is bitten by a radioactive spider, which gave him spider-like powers. Yu faces Japanese versions of villains such as Electro, the Lizard and the Kangaroo. Yu also has an Aunt May (her name is "Mei"), and the publisher of the Joho newspaper is a counterpart to J. Jonah Jameson.

Note: 7 out of the 13 Japanese stories in total were fully translated by Marvel, with heavy edits to remove the violent scenes. After that the title was cancelled, which was a likely decision by Marvel since the stories written by Hirai departed even further from the source material, and included scenes of sexual and gruesome imagery of a kind not seen in the original US comic.