These are mangas that are currently being serialized.
Attack on Titan
In this post-apocalytpic sci-fi story, humanity has been devastated by the bizarre, giant humanoids known as the Titans. Little is known about where they came from or why they are bent on consuming mankind. Seemingly unintelligent, they have roamed the world for years, killing everyone they see. For the past century, what's left of man has hidden in a giant, three-walled city. People believe their 100-meter-high walls will protect them from the Titans, but the sudden appearance of an immense Titan is about to change everything.
The Promised Neverland
Emma, Norman and Ray are the brightest kids at the Grace Field House orphanage. And under the care of the woman they refer to as “Mom,” all the kids have enjoyed a comfortable life. Good food, clean clothes and the perfect environment to learn—what more could an orphan ask for? One day, though, Emma and Norman uncover the dark truth of the outside world they are forbidden from seeing.
Young Asta was born with no magic ability in a world where magic is everything. In order to prove his strength and keep a promise with his friend, Asta dreams of becoming the greatest mage in the land, the Wizard King!
My Hero Academia
Middle school student Izuku Midoriya wants to be a hero more than anything, but he hasn’t got an ounce of power in him. With no chance of ever getting into the prestigious U.A. High School for budding heroes, his life is looking more and more like a dead end. Then an encounter with All Might, the greatest hero of them all, gives him a chance to change his destiny...
The science-fiction adventure follows two boys struggle to revive humanity after a mysterious crisis has left everyone in the world turned to stone for several millennia.
We Never Learn
The story follows Nariyuki Yuiga, a 3rd-year high school who has to tutor two of the school's geniuses, Fumino Furuhashi and Rizu Ogata? And if he doesn't, Yuiga won't be able to be recommended for a good university which he yearns for! Will Yuiga be able to successfully tutor these two beautiful geniuses?! Find out in, "We Never Learn!"
There's a new hero in town and he's got a bad attitude and a chainsaw dog demon! A dangerous combo.
Seraph of the End
After trumpets of the apocalypse proclaim the fall of humanity, vampires arise from the shadows to rule the earth. Yuichiro wants just one thing: to get revenge by killing each and every vampire. Yuichiro’s dream is near-impossible, given that vampires are seven times stronger than humans, and the only way to kill them is by mastering Cursed Gear, advanced demon-possessed weaponry. Not to mention that humanity’s most elite Vampire Extermination Unit, the Moon Demon Company, wants nothing to do with Yuichiro unless he can prove he’s willing to work in a team—which is the last thing he wants!
Just a stone's throw from London lies the manor house of the illustrious Phantomhive earldom and its master, one Ciel Phantomhive. Earl Phantomhive is a giant in the world of commerce, Queen Victoria's faithful servant...and a slip of a twelve-year-old boy. Fortunately, his loyal butler, Sebastian, is ever at his side, ready to carry out the young master's wishes. And whether Sebastian is called to save a dinner party gone awry or probe the dark secrets of London's underbelly, there apparently is nothing Sebastian cannot do. In fact, one might even say Sebastian is too good to be true...or at least, too good to be human...
The story follows the adventures of Monkey D. Luffy, a boy whose body gained the properties of rubber after unintentionally eating a Devil Fruit. With his crew of pirates, named the Straw Hat Pirates, Luffy explores the Grand Line in search of the world's ultimate treasure known as "One Piece" in order to become the next Pirate King.
Not completed (yet)
This are classic manga series that I am slowly catching up with.
When Moritaka Mashiro, a junior high student, forgets his notebook in class, he finds his classmate, Akito Takagi, who notes Mashiro's drawings. Takagi asks him to become a manga artist to his stories. Mashiro declines, citing his late manga artist uncle, who died from overworking. Takagi incites Mashiro to meet with Miho Azuki, Mashiro's crush, and tells her the two plan to become manga artists. In response, Azuki reveals her plans to be a voice actress. Mashiro proposes to her that they should both marry when Azuki becomes a voice actress for the anime adaptation of their manga. She accepts, but under the condition that they not meet face-to-face again until then.
Tokyo Ghoul is set in an alternate reality where ghouls, carnivorous 'monsters' who look exactly like normal people but can only survive by eating human flesh, live among the human population in secret, hiding their true nature in order to evade pursuit from the authorities. Including enhanced speed, senses, and regenerative ability, a regular ghoul is several times stronger than a normal human, has a skin resistant to ordinary piercing weapons and has at least one special predatory organ called a "Kagune (赫子)", which it can manifest and use as a weapon during combat. Another distinctive trait of ghouls is that when they are excited or hungry, the color of their sclera in both eyes turns black and their irises red. This mutation is known as a "kakugan (赫眼, red eye)." In the case of a half-ghoul, only one of the eyes undergoes the transformation. A half-ghoul can either be born naturally as a ghoul and a human's offspring, or artificially created by transplanting some ghoul organs into a human. In both cases, a half-ghoul is usually much stronger than a pure-blood ghoul. There is also the case of half-humans, hybrids of ghouls and humans that can feed like normal humans and lack a Kagune while possessing enhanced abilities,like increased speed and reaction speed, but shortened lifespans. To hunt down the ghouls, several government-sponsored organizations such as the CCG were created worldwide.
Magi: The Labyrinth of Magic
Magi: The Labyrinth of Magic (マギ) is largely based on numerous stories from 1001 Arabian Nights, most notably the tales of Aladdin, Ali Baba, and Sinbad the Sailor.
Magic Knight Rayearth
Umi, Hikaru, and Fuu are three schoolgirls out on a field trip to Tokyo Tower, whisked suddenly away by a strange voice and light to Cefiro, a world full of spirits and sorcery. They were summoned here through the last remaining strength of the Princess Emeraude, who hopes that they are the trio destined to become the magic knights legend says can save her realm! But how are a bunch of junior-high-school kids supposed to defeat the dark might of the sinister Lord Zagato . . . with only an exceedingly strange bunny creature named Mokona as their guide?
Twelve years ago the Village Hidden in the Leaves was attacked by a fearsome threat. A nine-tailed fox spirit claimed the life of the village leader, the Hokage, and many others. Today, the village is at peace and a troublemaking kid named Naruto is struggling to graduate from Ninja Academy. His goal may be to become the next Hokage, but his true destiny will be much more complicated. The adventure begins now!