From Kisu KissManga Scanlation:

One day, Natsuto found a loli near his house and it turns out she's a Holy Loli that is in a mission to eradicate the demons that escape from the Chaos Realms and as well as find the Key that can summon demons.

The Golden Dragon has sent the legendary sword into the world so that, when Black Dragon that is bound to come to destroy the world appears, a hero might take hold of the sword to slay the world-destroyer before his foul designs are wrought. Who could possibly wield the sword of legend to become the hero of legend who is fated to engage in a fight of legend with the evil dragon of legend?

As time reveals, Alfonso, an elder of the village, is and always has been the chosen one. And now, as the fated hero of legend, he must lay aside his elderly ways and stride forth on his quest of legend and find the Golden Dragon of legend so he may gain the powers of legend to defeat the Black Dragon of legend in a legendary fight to stave off the legendary armageddon.

It's going to be a legendary adventure.

Yusa Chiaki is a ordinary high-school student, whose motto is simplicity and frugality. Her favorite character is Uesugi Youzan. One day while going to search for a part time job she gets chased by kappas and a mysterious man rescues her. What will happen to her now?

This is a continuation of the Durarara!! manga starting with the Akane Arc.

A serial killer is on the loose and authorities are baffled! What they do not know is that this case requires non-traditional research methods. That's where Mako Miyoshi the detective and Kyosuke Kagami the Shikigami user enter the picture. Together they investigate supernatural crimes!

Oogami is a detective by day and exorcist by night, solving cases and hunting spirits together with his ghostly assistant Kazari. One day, a mysterious package with horrifying contents arrives in Oogami's mail, the only clue to its sender being the name of a remote village: Shirasunamura.

Note: The Japanese-character title keeps cutting off in the field below after the last "shi" or "death" for some reason. The title should be: 死にたくなるしょうもない日々が死にたくなるくらいしょうもなくて死ぬほど死にたくない日々.

This year, Sou Mamiya is Hell's millionth visitor. If he wins in a fight against Heaven's millionth visitor, he has a chance to reverse the accident that took his life.

It's an age where aliens, monsters and other dangers threaten the Earth, and various heroes have risen to protect it. Supporting these heroes are the human defense forces, of which the sisters Kitajishi Miyuki and Yuri are a part. Specifically, their office is for hero consultation, and they help heroes solve their problems, but they also help evacuation procedures during emergencies. Yuri was formerly an immensely powerful and popular magic girl, but now she helps protect people in a more human way. In their first case, they consult with a hero who has lost his powers, and is trying to find a way to live as an ordinary human.

From Yen Press:
No matter how much the times change, bullied kids aren’t going anywhere. And fat junior high school student Haruyuki is one of them. But one day, Haruyuki encounters Kuroyukihime, the most beautiful and elegant girl at school, who gives him a mysterious program: “Brain Burst”…and the secret of the “Accelerated World.” He may be at the bottom of the food chain at school, but Haruyuki and his destiny begin to “accelerate” with incredible speed in the virtual realm as he aims for the top.

The accompanying 4koma for Accel World.

From MangaHelpers:

Another version of the story of the Inspectors and Enforcers from Psycho-Pass, but this time in chibi style! All of the main characters are now in chibi form, and are attending a "Psycho-Pass Academy," which is basically a chibi-fied version of the scenario of the original series. New student Tsunemori and her classmates will use their Dominators to keep their school's peace! [tethysdust]

From the author of Necromancer.

Iori Shijima, an ordinary high school student blessed with a good, common life. He has a cute childhood friend, lots of friends he can rely on, and a nice and beautiful mother. Additionally, his grades are good and he has a solid future plan. However, one day "transcendent beings" called ĀTRAIL appear on Earth, and Iori's everyday live crumbles as he learns about the secrets of another world and the meaning to his own existence.

The story opens with Syaoran and Watanuki communicating via Mokona, and it picks off exactly from xxxHolic Rei's chapter 38. Syaoran had contacted Watanuki to retrieve some items that were unavailable in his world, that he needed for his quest. To achieve this task, Watanuki had travelled to a world where both the shop and Yuko existed. For him to live in such a world would have created a paradox (since he is now the "Owner" of the shop), so he needed to be "his old self", by forgetting his memories and taking Doumeki and Himawari's memories with him. Syaoran realizes that this request had given Watanuki pain and apologizes for it. He chose to forget but eventually he remembered everything. Watanuki knew she wasn't the real Yuko, so he chose to leave her.

Are you a victim of unwanted spirit possession? Is there a ghost you need sent up and away...or down to burn for all eternity? If the answer is yes, then you need Muhyo and Rouji, experts in magic law. Serving justice to evil spirits is their speciality.

In the year 3000, a meteor strikes earth and destroys it! Terfiying beasts born from Humanity's Sins now take over the universe. These monsters are called the "Ghastly Seven Sins"!! Meanwhile, at the center of the universe, Adonis, the ruler of the universe, and it's strongest being is destroyed! What in the world is going on?!

‘Race!On!’ is a high-octane action/racing manga which pulls you into the fantasy land of Oracen, where magic and steam-driven technology co-exist. There are magical creatures, robots, monsters, and crazy people who wear pointy hats. The story follows Lyn – a mechanic who, by a twist of fate, finds himself entering a Magic Race – a dangerous competition where the objective is not only to outrun your opponents, but also to survive whatever explosives, magics and punches they might throw at you. In this crazy competition where anything can happen – you either finish first, or you don’t finish at all.

From The Zero Alliance:

Asagi is an exorcist with a tragic past.
One day, an encounter with a certain ayakashi causes him to recall that tragic past…

From Kirei Cake:

Alice is a senior high-school student who lives with an uncle that spends his time tormenting her everyday. One day, Alice witnesses the death of her uncle by the hands of an assassin called "Kumo" (Japanese for Arachnid). She then falls unconscious, and upon waking up, she finds out that she's in Kumo's house... Now, this Alice who no longer has any family and is being raised by the assassin herself.

In middle school, Ichinose Kimitaka taught his friends how to play basketball. Despite his experience with the sport, his friends quickly outmatched him in skill. After an incident brought on by his frustration and jealousy, he was crushed to overhear those same 'friends' discussing how they wished he'd just kill himself.

On his way to toss out his special basketball shoes, he met a girl who was just as frustrated, throwing her own dancing shoes away. She was so tall, and her hands and feet are so large, that she had been rejected from her chosen hobby of Spanish dancing. He urged her to give basketball a try, and the two exchanged their shoes instead of throwing them away.

As he enters high school, Kimitaka learns that meeting him changed that girl's life for the better, and she is now a happy, social basketball player. Will Kimitaka be able to find the courage to make new friends and pursue his own talents?