Himawari Sakura's father has passed away and she has inherited the entirety of the yakuza organization. To protect her, Iwama Chibaki (a man with a distorted past) gets hired as her bodyguard.

From Scum-Scans:

Chocolat is a mature comedy series about half-orphan Tatsumi Chiyoko whose father was caught in huge debt. Now living with Omugi Matsukichi, an ex-underground king who opened a pastry shop, she gets to know people like Katou Ichigo, an ex-inmate. With people after her father's whereabouts, what will happen to her?

In a not-too-distant future, the Earth has been overrun by a horrifying technovirus. Mechanical parasites, mistakenly created in an attempt to advance technology, attach themselves to human spinal cords and turn their hosts into cyborgs.

Desperate to rid themselves of this technological terror, the remaining human survivors must band together and learn to defend themselves against their android enemies.

"Long, long time ago... God descended down to the world engulfed in darkness. With the threads made from sheep's wool, He created one wondrous piece of cloth, gave rise to another world. That world is known as 'Divine Cloth'." This is the legend that was told from generation to generation.

Beneath the Earth of Divine Cloth is the world engulfed in darkness. There lives the creatures that were sealed by God known as Bugs. Frequently, Bugs plunge out from their world, creating holes on Divine Cloth. To fix these holes and reseal the Bugs beneath the ground, a young man and woman, Ryle and Marino, set out on their journey.

New dawn of historical gunfights! A Meiji Era like no one has ever seen before is here!

In a world where monsters called Yoma prey on humans and live among them in disguise, humanity's only hope is a new breed of warrior known as Claymores. Half human, half monster, these silver-eyed slayers possess supernatural strength, but are condemned to fight their savage impulses or lose their humanity completely.

The mighty Kingdom of Goguryeo is in the midst of a war which has raged on for decades. In need of talented warriors to help lead their people, O'Rhang Yhun is sent on a mission by his master into enemy territory to find and bring back his eldest brother. However, just as O'Rhang departs on his mission, his master, a renown warrior and general of Goguryeo, passes away. Unfortunately for O'Rhang, his 2nd eldest brother has always been jealous of his martial arts potential and betrays O'Rhang by branding him as a traitor defecting to the enemy. Having been branded a traitor, he is pursued and nearly killed. As fate would have it though, O'Rhang is able to escape from his homeland barely managing to survive when a maiden as beautiful and graceful as an angel saves his life. Join O'Rhang Yhun in this action packed adventure-love story to uncover the secret behind the martial arts his master passed onto him (Sa Shin Mu), his quest to find his oldest brother, and the score he has to settle with his 2nd eldest brother! [The Continuation of this manhwa is the manhwa NOW.]

From Dark Horse: In a time of chaos and war, a godforsaken era, twin sons are born to an emperor. But legend states that the son of the emperor shall be born a demon! But twins? Who is the demon, and who shall reign as emperor? Chunchu is the story of a young man saved from death by his mother, banished by his people, hunted by his brother, and tortured by the demons within. Living and fighting with a low-born warrior tribe who can never trust him, Chunchu lives a life of blood and violence, every day a struggle to survive. But something mysterious lurks within his cold exterior, something that could be awakened by the touch of a woman. * Manhwa of the Year in Korea-2003.

In this school fantasy story set in the distant future, creatures contaminated by pollution have overtaken the land, forcing humanity to live in isolated mobile cities called Regios. One such city named Zuellni is a self-contained school in which freshman Layfon Alseif has just enrolled. Layfon reluctantly joins the 17th Martial Arts Studies Unit led by the third-year student Nina Antalk and embarks on a series of adventures.

This version recounts a slightly different version of Layfon's story.

From Potato-Land:

A girl named Nagisa Akira, is said to be the reincarnation of the Virgin Mary aka Maria's Daughter. The Vatican, realizing this, has sent one of its elite agents, Takagi Chrome, code named “Crimzon” to protect her. Chrome is one of the elite assassins directly under the control of the Vatican, used to carry out terrorist acts and the assassination of world leaders. Chrome's new mission is to protect Akira so that she does not fall under the hands of the Protestant English. Thus begins the journey to protect Maria’s Daughter, and to find out about Chrome’s mysterious demonic power.

Akabane accidentally discovers that his classmate Sumomo is one of the Japafive Rangers. He is then recruited as one of the Japafive Rangers but things don't go very smoothly.

It's not serious, feels more like a gag parody more than anything else

Come Back Home Story 1: Talent "Do what you do best!" They met by coincidence, a school girl and a delinquent. While she works hard to obtain her dream, will he find a way to use his talent? Come Back Home Story 2: Bride "His name is Bride, a gifted musician. They say he became music's bride because of his immense love toward it. He has never loved anything else other than music. And every concert is a wedding. At the end he throws his guitar toward the audience. Whoever catches the guitar becomes a guitarist as well. The guitar Bride throws, they call it the bouquet." So when I catch his guitar, will I become a guitarist? Come Back Home Story 3: Trick Come Back Home Story 4: Sky Come Back Home Story 5: Idem (4 chapters) A delinquent with a fiery temper and a beautiful girl have known each other for years. While entering high school will their love withstand the problems ahead?

Combination is a police story about two very different men becoming partners to fight crimes in high places. Their combination turns out to be one-of-a-kind.

The story is based on the adventures of a pair of policemen, Hashiba Shigemi 26 years old and Keiichi Sasaki, 22. The two handsome young men are somewhat nonconformist and often act of impulse; especially the impetious Hashiba. They solve crimes with "less-than-orthodox" methods and push themselves to the limits of the legality; Often engaging themselves more on hunches and "faith" than for the same law; but after all they are the best "Combination" that can be found. thus the title of the series. They prefere to take action against the politically corrupt and the dealings of the yakuza. The Japanese Robin Hood?

From Dark Horse:
Two slaves free themselves from a slave ship; one a Japanese man, the other an African American.
After escaping, they find themselves on the shore of Edo-era Japan, a society with a strong caste system, isolated from the world. How will the Japanese people perceive this giant black man, and how will they survive? But first things first: How will they get these shackles off their feet?

The Empire of Brittania has invaded Japan using giant robot weapons called Knightmare Frames. Japan is now referred to as Area 11, and its people the 11s. A Brittanian who was living in Japan at the time, Lelouch, vowed to his Japanese friend Suzaku that he'd destroy Brittania. Years later, Lelouch is in high school, but regularly skips out of school to go play chess and gamble on himself. One day, he stumbles on terrorists 11s who've stolen a military secret and is caught by a member of the Brittanian task force sent after them, who is Suzaku. As the rest of the squad arrives, Suzaku is shot for disobeying orders, while the military secret, a young girl, gives Lelouch the power to make anyone obey any order. He takes command of the terrorists and leads them to crush the approaching Brittanian force. However, Suzaku is secretly made the pilot of Brittania's brand new test model Knightmare, Lancelot. Lelouch becomes the masked king Zero to lead the rebellion to defeat Brittania. This series follows Suzaku's side of the story, while Lelouch of the Rebellion follow's Lelouch's.

The story takes place in the same official Code Geass history as the anime, but in a different era. The title character, Renya, is a 17-year-old boy with a mechanical left arm and shuriken throwing stars as his weapons of choice. The story begins when Renya encounters a mysterious, perpetually young witch named "Reifuu C.C." C.C. has appeared in Japan's historical Edo era to seek a new partner for a covenant. Meanwhile, a mysterious man, with a striking resemblance to the character Lelouch of the original anime, also appears with unknown intentions.

An alternate Code Geass story in which Lelouch's fate is unknown after his meeting with C.C., whether he be dead or alive. Nunnally makes a Geass contract and gains the power to read the lines of the future. She also obtains a new body and takes up piloting an unusual Knightmare Frame.

A Demon wants to turn into a human because she fell in love. This is the story of her turning into a human, with, a slightly realistic view as to what might happen..... Well, only if demons were real to begin with.

From Bliss:

The powerful pirate clan Preveza holds control over the Morea Sea. Amongst the pirates is the clan's strategist, the blind but beautiful Canale, and the fleet commander, Ayace. However, the secret that Canale holds is about to change the relationship between the two of them...

Asahi and her friend Yamato went together to an exclusive event as test players for a new game from the cellphone-game company "Sky Nova." The test players were a diverse lot of all ages, from ordinary teens like Asahi to popular idols. The company took all of them on a cruise to explain the rules of this island-based, treasure-hunting survival game. Suddenly, during the presentation, all of the participants lost consciousness. They woke up on an actual island wearing a strange watch with the words "Game Start." Now they are all stuck in this survival game, which has become all too real and deadly!