Haru, a fun, lovable, easygoing guy, has a problem, he nearly burnt his girlfriend to death with his power. Meanwhile, another serial arsonist is on the loose, and there are rumours of strange incidents having occurred before! Could there be more people with unexplained powers? What will happen to the human torch?

Wandering the packed tunnels of Shinjuku Station, famous author Yosuke Mikura makes a strange discovery: a seemingly homeless drunk woman who can quote French poetry. Her name is Barbara. He takes her home for a bath and a drink, and before long Barbara has made herself into Mikura's shadow, saving him from egotistical delusions and jealous enemies. But just as Mikura is no saint, Barbara is no benevolent guardian angel, and Mikura grows obsessed with discovering her secrets, tangling with thugs, sadists, magical curses and mythical beings - all the while wondering whether he himself is still sane.

An adaptation of the BBC re-imagining of Sir Arthur Conan Doyle's Sherlock Holmes series.
Sherlock, which aired in 2010 (season 1), 2012 (season 2) and 2014 (season 3). Season 4 is currently in the works.

In the series:

Vol.1- Pink Iro no Kenkyuu
(A Study in Pink)

Vol.2 - Shi o Yobu Angou
(The Blind Banker)

Vol.3 - Ōinaru Game
(The Great Game)

From MangaHelpers:
Nearly half the population of Sakurada, a small town near the Pacific Ocean, has some sort of unique power. These powers range from being able to enter the mind of a cat to resetting the world back to a certain point in time in the past. There is a group known as the "Kanrikyoku" that controls and monitors the use of these powers. Asai Kei and Haruki Misora work for their school's club called "Houshi" club, which execute any missions received from the Kanrikyoku. Misora has the ability to reset the world three days. This means that all events and any memory of the past three days that "could have" happened, never happened. Kei has the ability to "remember" the past. Even after Misora uses her powers to reset the world back three days, Kei will retain those three days in his memory. Combining their powers, these two solve missions issued by the Kanrikyoku.

Mahiro thought she was all alone in the world until her long-lost brother, Ren, and his handsome, mysterious friend showed up and turned everything upside down! Competent, determined and dangerous, the two men have vowed to protect the innocent girl from the ruthless Queen Phibula, who is hell-bent on seeing her dead. As Mahiro learns more about her forgotten past, she and her handsome bodyguards must face explosions, assassins, betrayal... and the promise of blossoming romance.

From Wikipedia:
Pilgrim Jäger is a historical fiction that takes place in Europe in the year 1521, at the time of the Protestant Reformation. The story follows two women, Adele the acrobat and Karin the fortuneteller. Afraid of being accused of witchcraft, they disguise their special powers, working as common performers (professionisti) to earn enough money to buy indulgences from the Catholic Church that will hopefully free them from their sins. However, their powers soon get them involved in a great religious battle involving the Medici family, the Este family, Girolamo Savonarola's "prophecies," and many others.

Even though J no Subete is three volumes long, each volume is a dynamic story in itself covering a particular stage of J's life. Her life is a dark story and it's a very psychological manga.

Book one is about all of J's trials and tribulations throughout childhood, during high school as she tries to find her place in the world and when she meets the somber honor student Paul...

Timeline (from Oriolidae & Sparviero):

01 Barairo no Hoo no Koro v01 ch01-05
02 J no Subete v01 ch01-05
03 2 Shuukan no Adventure v01 ch05-06
04 J no Subete v02-03
05 Barairo no Hoo no Koro v01 Extra

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Lezhin publication

The story is set in a world where humanity, driven off the land by the threat of magical armored insects, now live in aerial floating cities. Thus wizards - aerial combat mages who fight the insects with magical powers - came into being.

Kanata Age is a young man who lives on the floating wizard academy city of "Misutogan." He was once celebrated as the "Black Master Swordsman," the elite ace of the S128 special team. However, he is now despised as the "traitor of the special team." One day, he is assigned as the instructor of E601, a team that has suffered 10 consecutive defeats. E601 has three girls - Misora Whitale, Lecty Eisenach, and Rico Flamel - with one or two peculiar quirks.

From AQUA Scans:

A group of scattered people who've lived sin-filled lives head off to battle once again after their deaths; each one harboring their own reason to fight. When the fighting is finished and their sins have been atoned for, their souls will be returned to them. Kanata no Togabito ga Tatakau Riyuu is an epic fantasy from a long anticipated new author, and the story of those who fight on and are burdened by the sins from their past.

Simon, once brilliant law student at the prestigious Haversford Campus, now finds himself council for those in need of representation against the occult. It's the age old Faustian tale, but this time, Faust has a killer lawyer.

The story of a little girl who has been separated from the outside world. The one thing that she does know is her nickname, "Maria". But one day, a hand of salvation is offered to her…

Webtoon on Lezhin
English Version

While struggling with a grandmother who's starting to forget him and a family who already have forgotten him, middle school student Sakamoto Toki meets substitute art teacher Itsuya Tsuruda and her housemate, Kon. Itsuya-san has no artistic skill whatsoever, but she does have a different kind of ability...

From MangaHelpers:

One of the surveillance ships of the company Ferret went missing for some time. Once the ship was found, all 115 members aboard the ship were completely missing. No trace of their existence was found aboard the ship.

Masato's sister works for Ferret, and he was tasked to bring her supplies for the upcoming work to investigate this mysterious ship that returned without her crew. He meets a beautiful girl named Uto at the company, who also had a brother that worked for Ferret and went missing inside the ship. Now Masato and Uto must embark on a mission to discover the mysteries of the unknown island where the missing crew has been left. [DrCoke]

A collection of short stories which feature the mystery of human beings with a seemingly surreal yet pure literature-like style.

Itsuki is a student 18 years of weak appearance, one day while walking down the street is surrounded by a band of criminals, Murashige Ryouta tries to save him but Itsuki is perfectly able to defend himself from the thugs because he practiced Aikidou. Ryouta is impressed with the strength of Itsuki and follows him to the house of his family. Ryouta begins to have a great fascination with the Aikido but even more by Itsuki

The manga follows Ruki during her university studies and her discovery of her sexuality and romantic attractions and the daily life with friends of (mostly) the same orientation.

Fight to Live, Fight to Survive. If you want to live, reach Estancia. Your life is in your hands.

Sakia is a city of criminals - criminals who have been stripped of the memories of their past. Here, they rot yearning for the one thing they remember, their homes, their heaven, Estancia.
There is only one rule in Sakia. No one leaves without permission! The irony though, there is an escape, a train that leaves the city regularly. Is it too good to be true? Or is someone helping them, and why is Estancia the only thing they can remember?
This sci-fi adventure will have you guessing at every "checkpoint". The secrets, plots, and relationships will have you questioning every thing. Never take things at face value.

Series of 5 oneshots:

1) Dizzy (Memai) (also is chapter 4 in manga "Slow Starter")
Koutarou's childhood friend Te-chan invites him to his home. Koutarou thinks it's weird since they haven't hung out together in years, but the carnage at Te-chan's home sends the boys running away together. Is Te-chan really bad? If so, why doesn't Koutarou leave him?

2) Slow Starter (also is chapter 1 in manga "Slow Starter")
two boys who do track and field together, one of them has fallen in love but is it reciprocated?

3) Teikuu No Akaitsuki (低空の赤い月)

4) Hitokui (人喰い)

5) CAMPAS

We are criticized just because we're women and hurt each other just because we're women. This is the story of women bound by the pressure of womanhood in love, work, and childbirth, who continue to live on, ragged and ungraceful. Miki Aoki is 31, single, and sick of life, but her slowly building savings balance keeps her going. She's surrounded by people like her old-fashioned boss who tosses off things like “This is why I hate women” (shut your face) and her fossil of a mother who puts pressure on her, saying things like “So when are you going to get married and have children?” (please stop talking). And then there's a younger staff member at work with whom she only has superficial relationships (just do your jobs). She could really care less about the lot of it. This is the bitter and sad story of women who live like that, an anthem to cheer on all women.