In the Count series:

Vol. 1 - Count 0
After an accident, Agatsuma discovers that he can see numbers above people's heads, numbers that indicate the number of lies the person has told. Due to this, he finds it hard to trust anyone. Until one day, he comes across someone with a perfect 0!

Vol. 2 - Count H
It's the continuation of the one who's able to see others lies, Agatsuma, and the super honest Misono. Even though they graduated from high school, young people can't hold back their urges and still have tendencies to go out of control. As soon as they got careless, they ended up getting intimate at Misono's school. But who would have thought that there they would find another person with the same ability as Agatsuma! How will Misono feel when he sees how elated his lover is over the discovery of a comrade?

From Viz: Delve into the tortured past of Earl Cain C. Hargreaves, charismatic heir to a wealthy family full of secrets, lies and unthinkable crimes. The prequel to the Godchild series, The Cain Saga follows the young Cain as he attempts to unravel the secrets of his birth, all the while solving each new mystery that comes his way.

From Strawberry Vanilla:

One day a girl named Koyori Fujimoto is pulled out of a crowd while watching a magic act on the street and is forced to participate by getting into the 'Miracle box' and being made to 'disappear'. What really happens is she suddenly finds herself being carried over the shoulder by someone, down a ladder into the sewer below the street. Turns out the guy is part of the magical act. When Koyori gets a good look at him, she is stunned at how good looking he is, and by his one brilliant emerald eye, and other brown eye. Koyori is fascinated by him and asks his name, and he tells her it's 'Yuki' and then he rides off on his motorcycle. At school the next day, Koyori is preoccupied by thoughts of Yuki, but she also catches a few glimpses of an old crush, Shuu-kun. We see that Koyori's class is taught by a very geeky looking guy with glasses named Nagase-sensei, but turns out he is Yuki!! Now Koyori is caught in the middle between her feelings for her classmate Shuu-kun, and her new feelings towards her surprisingly handsome teacher.

Hakushaku is the 5-year-old male tortoiseshell cat in residence at the Fujiwara home. He has a tough job trying to keep the two daughters, Shizuka and Yumeko, in line, and he often ends up suffering for his efforts. Shizuka is a high-school-age girl who has stopped going to school and has become a shut-in. Hakushaku tries to encourage her, but sometimes he has to stop her from doing embarrassing things, like showing her boobs on the internet. Yumeko is the younger sister, a middle school girl who has a huge crush on Shizuka. Hakushaku doesn't know how to handle this sister complex! A cat has a hard job in a household with such unusual girls!

A mysterious mastermind single-handedly releases 206 of the most dangerous prisoners around the states. When the prisoners rampage New York City, the police helplessly watch as a young boy with a katana appears. His mechanical arm has a countdown from 206; what is his purpose?

The day after he finds himself dumped by his girlfriend, Sorayama Shun recieves a letter... from himself? The letter was from Shun 25 years later for his future self. The letter reminds him of the time when he dreamed of owning a Countach and being a successful professional racer. With loads of luck and his ambition to make his childhood dream come true, he finds himself as a new owner of an LP400 Countach.

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

A self-proclaimed angel decides to intervene with a boy's love life, starting with a timer on a boy's arm, which will count down every time the boy's heart beats from interacting with his crush starting from 10. At 0, the boy will confess everything he is thinking at that moment. But it only starts there! The 'angel' has powers based on the number 10, and grand the boy the ability to stop time, make someone fall in love with him, learn who others like, and more. With comedy, romance, and drama, this is not a typical shounen series and should not be passed up.

Mikihiko is leading a radiant middle school life with his three best friends, but fails his high school entry exams and stops coming to class altogether. And when his emotionally attached friend Keiko finds out, she tries everything to restore their past lives. How will the transition from middle to high school affect their personalities? What kind of fate awaits them? Introduction to one of the three worlds in TRianThology.

Scrap the boring, run-of-the-mill dating show! Lovers gather together to test the strength of their love. One lover seeks revenge on their swapped lover, one couple seeks fame and another seeks to test their love.
Spicy lover’s revenge set in an ultra-popular hit dating entertainment show!

A genius student that is ignorant to the ways of Boys Love.
A sister with aspirations of becoming a BL mangaka that wants to use her younger brother’s writing and make her characters come to life.
Wait; there was actually a dreamy prince-like boy that resembles the lead character in real life?!

18-year-old Tsubomi has a bit of a weight complex. After graduation from high school, she takes up a part-time job at a video rental store where she is introduced to another male employee, 19-year-old Shiro, whose shifts always seem to coincide with hers. Shiro casually mentions that she reminds him of someone familiar. A few days later, while on duty, she bumps into a customer in one of the aisles. He leaves, but not without dropping his membership card, and Tsubomi finds out that his name is Nasukawa, and that he is an acquaintance of Shiro's. Meanwhile, after a song for a commercial comes on, Shiro realizes that Tsubomi reminds him of a famous model in a commercial (her "eyes", at least), who turns out to be none other than Tsubomi's cousin...?!

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A story that takes place in a great continent grounded on the skeletal bones of a phoenix that is inhabited by many nations and people. Suddenly in the region to the West, seven volcanoes that have been inactive for centuries begin to erupt and its fire burns a blanket of red that is large enough to covers the sky, blazing across heaven and earth.

Original webtoon (Korean webcomic)

From Viz:
A contagious Monster Flu is spreading around town like wildfire. Can the town's troublemaker and his friends get the medicine in time to save everyone?!
Paifu, a half-vampire half-werekoala, is always getting into trouble. With his trusty sidekick, Jose the ghost, he's out stealing watermelons, befriending murderers and causing a ruckus. But not everything is fun and games when the contagious Monster Flu sweeps through town. If the sick monsters don't get some medicine within a month, everyone will die! But only the one who has the medicine is the Witch who lives high atop Horned-Owl Mountain...750 miles away! With the help of a former sumo wrestler, Paifu, Jose and tagalong Arpon are off on an adventure! But, will they get the medicine in time or will they become victims themselves?!

“Shokatsu Koumei”, also known as Zhuge Liang. Among the few heroes that decorated the Annals of the Three Kingdoms, it was once a prestigious name. An account of “an ingenious tactician”, the thousand-year-old story of the “God of Stratagem”. It is said… “in a country torn by factions and transformed into a devastating and cruel hell, the heavens sought peace by sending a composed, well-loved young man of impeccable and divine virtues.” Well, well. In truth… He is a childish man.