From ryColaa:

Reputation is everything in a world of icons and popularity contests. So why not score some points here and there by being the nice guy? This is the way Kang Shin-gi legitimizes the fake personality he has everyone believing. Armed with his above average looks and a (completely false) angel-like personality, he has every girl in school head over heels, and all the guys looking to him for guidance. With the exception of having a screwed up cross-dressing devil for a dad, Shin-gi’s life is absolute perfection (*cough* of lies), until one day, Um Seung-hui transfers to his school.

While being a complete martial artist freak, she also likes to fib just a little in front of those who know her… you know, like acting like she's just a scared little girl who'd play with kittens rather than break brick walls with her head! After all, how can anything go wrong when you're as cute as Seung-hui?

Fate has brought these two masters of lies together, and the two must battle it out to see who will be crowned the undefeated heavy-weight champion of fakeness!

A collection of tales:

1. Slim Kannon
2. Inu de Warui ka!!
3. Obasan to Issho
4. Ganbari-Masse (The End of the World)
5. Grand Father
6. Takarazuka e no Shoutai (Invitation to Takarazuka)
7. 1 or W - One or double
8. Happy Talk
9. Uchi ga Megami ja!!

From: Easy Going Scans

Our protagonist Jo Cheul-Hee is a delinquent who enjoys picking fights and aims to take control of his new school where he gets transferred, but what he doesn't know is that it's an all girls school.
Being the only male student there, everyone thinks he is gay!

From Yen Press:

Momoko is the only child of the Kuzuryuu clan, a powerful martial arts family with inhuman strength. But strong as she is, her father fears a woman will never be able to master the skills of the family. Unless Momoko marries and bears a capable heir, the Kuzuryuu line is doomed to weaken and die off! With this mission in mind, Momoko is sent to the rival Inuzuka clan, where she is to marry the son of their mighty leader. But Koushi Inuzuka abandoned the martial arts long ago. Now committed to his legal studies, the last thing Koushi has on his mind is marriage — especially not to the world’s strongest bride!

Yusuke Urameshi was a tough teen delinquent until one selfless act changed his life... by ending it. When he died saving a little kid from a speeding car, the afterlife didn't know what to do with him, so it gave him a second chance at life. Now, Yusuke is a ghost with a mission, performing good deeds at the behest of Botan, the ferrywoman of the River Styx, and Koenma, the pacifier-sucking judge of the dead.

Note: Won the Shogakukan Manga Award for shounen in 1993.

Two Brothers are climbing a mountain to learn a secret fighting technique from an old man. Three years later they are returning to their village ...

"Middle Edo Period -- One state becomes the gathering place for sinful martial artists, who believe in nothing other than power, know no other way of life than letting oneself go wild in battle. That state is the Unabara State, the "Haunt of Demons"..."

Washitzu Naosata, the ruler of the powerful state, Unabara, is looking for his successor. He calls upon all 31 of his sons and tells them to search for whoever they believe to be the strongest martial artist of all. Each of their chosen martial artists are then to fight against each other - until only one remains. Whoever is the winner, whoever has the strongest martial artist in the nation by his side, will become his successor...

Out in the midst of the mountains is the doujo of "Oogame Ryuu" (Giant Tortoise Style). There lives Kurogane Gama, the son of the legendary swordsman, Kurogane Jinsuke, who is believed to have killed 1000 martial artists in Unabara. There, one of the sons of Washitzu Naosata, Washitzu Naoshi, arrives in search of the legendary swordsman, only to find that he has been missing for several years. After seeing the battle style of Gama, Naoshi decides to ask Gama to come with him instead. Wanting to become stronger, Gama agrees with his offer, and that marks the beginning of Gama's battle to become the strongest of all...

Randou Masashi, a self-centered, brash karate star, was the victim of a horrific bus accident that left him comatose, his face terribly disfigured by extensive burns.

Genius plastic surgeon Dr. Manabe saved Randou's life and went to work on his face, gradually reconstructing it based on a photograph found in the wreckage of the bus. But in a cruel twist of fate, the photo that the doctor used as his reference was not a picture of Randou, but of Rina Kurimi, the girl whom Randou has a crush on!

1. The Circle
All social connections fall into circles, some circles intersect, and some people can never connect. Captain Tachikawa wants to be closer to talented amateur Furuda, but it's surprisingly difficult.

2. The Box
After seeing the friend he's loved for ten years be swept up in an out-of-the-blue romance, Andou's more than a little heartbroken. Then in steps the freakishly tall Higa, a first year at the university, to pick up the pieces... if only Andou actually wanted him too.

3. Blood Hope
A man(Hisae Kai) living with his daughter and grandchild finds a mysterious book and releases a demon(Hakuou). That demon offers to grant him one wish, but for a price...

4. Blood Trap
The story of Blood Hope continues with Hisae Kai, his daughter, his granddaughter, and Hakuou - a demon - living peacefully together. This peace is interrupted by a heavenly messenger sent to seal Hakuou, and Hisae must move to protect the ones he loves from this meddlesome spirit.

5. Blood Chip
Hisae Kai, his family, and the demon, Hakuou, still live together blissfully. One morning, Hisae gets fed up with Hakuou's overflowing pottery works that are blocking Hisae's workspace and demands that he removes them. During the cleanup, Hisae is attacked by a strange creature and Hakuou must protect him.

6. Akuma to Issho
A short one shot, more like a small extra, to the Blood- Hope, Trap, and Chip series of one-shots.

7. The Circle Extras

The story is of Kitano Seiichirou, a very kind and pure-hearted young man, with a horrifying, monstrous face. People being what they are, they think he's a terrifying delinquent, and there are plenty of chance misunderstandings (coupled with Kitano's convenient inability to understand what's happening around him) that propel him into the position of "school guardian", a.k.a. head thug on campus.

Wagashino Azuki, training secretly deep in the mountains. She's too clumsy and air-headed to be a ninja, but somehow Azuki ends up as the bodyguard of the heir to a financial empire! 3 mysterious girls also appear. How is this mission going to turn out!?

Ninja Action Manga & High School Love Comedy, all in one!

Aoi Destruction is a compilation of short stories by Kazurou Inoue (Midori no Hibi and Aikora). The first 3 chapters are dedicated to the title story (Aoi Destruction). Story 2 is 'Rare Bookshop Owner Yakou's Hard-Fighting Chronicles'. Yakou was left to run his father's rare book store and bitterly resents it. Then a super-hot babe walks into his store. She's a "book-detective" and tells him she's taking over the store so Yakou can pursue his family's heritage--the "other job...". Story 3 is 'Full Scratch Eiji,' about a boy who tries to get away from his otaku past. He was a legend among figure makers, "E-Model-san," until a girl rejected him for being too "otaku." Yoshizaka is easily the big man on campus; adoring girls throng about him. Jealous boys chew their livers. Then he stops to help a goofy girl--who is thrilled to meet "E-Model-san"! She could ruin everything; he has to shut her up! Story 4 is 'Otone no Naisho,' a story about a young samurai girl who finds herself the owner of a perverted possessed katana. Not for kids.

From: Easy Going Scans

For a few years, the city of Kyoto has been the theater of a secret war opposing extreme Japanese teenagers lauding the exclusion of the gaijin (foreign people) outside of Japan, and others who defend their integration. In order to avoid an escalation of violence between rival gangs, both sides have agreed to sort out the gaijins’ fate for good in an underground tournament where the best fighters from each side will have to fight against each other. The "Black Boat Project," abbreviated as the "B.B. Project," directly links to commandant Perry’s “Black Boats”: the symbol of the arrival of the gaijin on Japanese soil…

Franck Leclerc is a young Parisian who loves to fight. He arrives in Kyoto, supposedly to study… but mostly to charm Japanese girls and spend his money in video-game rooms, his vision of the “Japanese dream.” However, his real nature comes back very fast when Franck finds himself stuck in a fight opposing hooligans against the mysterious Megumi. Without knowing it, our hero is going to become a part of the B.B. Project…

It's nature vs. nurture when a nerd swaps bodies with the toughest guy in school! Kang Too-Jee and Woo Soo-Choi have swapped...their bodies! After becoming the subjects of a mad scientist's experiment with her latest invention - the quantum teleporter - their bodies are switched, leaving only their minds and spirits intact. Woo Soo-Choi, who was once a model student, must face the life of Kang Too-Jee, a teenage menace. Never having an enemy in his life, he now has to deal with the handful of Kang Too-Jee's list, but will his kinder, gentler demeanor ward off his rivals? Or will survival determine his future? Will he become the hardened fighter that matches his new exterior?

In Change 123, we meet Motoko, a girl with a very strange problem. In order to cope with her 3 adoptive fathers' incredibly intensive training methods, she developed multiple personalities, each with a different martial specialty. But what happens if none of them can beat her opponent on their own? And what further nugget of wisdom will be imparted by the great Kamen Raider?

Tough, lazy, money lover, yet beautiful high school student named Shin Bia. While she's thinking about the eras she suddenly falls into that ancient time period! She had to transform into an elegant lady and while she's there she faces quite an obstacle.

A boy and a girl are forced to join hands for all eternity!?
In a land ravaged by an epidemic known as "Troy", the only people with healing arts capable of stopping the seizures caused by the disease are the Sisters. Although they have a high resistance to the disease, they are searching for a person who is truly immune, so that they can find a cure. The main character is Sister Elraine, one of the Sisters who becomes infected with Troy. But, when she touches Kiri, a seemingly ordinary boy, her seizures stop. Could he be the one!?

In volume 1 is included the oneshot Island:

A story that takes place on the day Aira turned 14, and learned the devastating truth about the island she lives on, which is completely surrounded by a huge wall...

The year is 2718 by the Imperial Calendar, and ZIPANG (Japan) has crumbled in a huge battle against Majinki, terrors from the sky that are half beast and half machine. Hurting each other, warping their morals, unable to see a future, the people strive hard to survive each day. The war wiped out 70% of the human race, but amidst the darkness arose the seven members of the XILE Tribe to bring salvation to the race. But now, 500 years later in 3218, the wicked shadows of the Majinki have once again crept up upon them. This is the story of EXAMURAI, that of the XILE Tribe, who will fight to the death to protect their love, dreams and happiness. Having survived for 500 years since the events of 2718, the final battle of the seven members of the XILE Tribe begins under this azure blue sky... Based on the members of popular Japanese band, EXILE: Hiro, Atsushi, Takahiro, Makidai, Matsu, Usa and Akira.

From StarryHeaven:
Meru Tachibana, 12 years old. She’s just returned back to Tokyo after 12 years of training with her father, who thought she was a boy! Now Meru is stronger than most guys, and she’s doing her best to make sure that people don’t find out, or else her chances of making friends is ruined! However, a group of eighth graders seem insistent on making that impossible, as they break the rules and pick on the weak. Will Meru be able to stop them as the new student council president without appearing to be a “Monster Melt King” as her mother has warned?

Also includes an extra story in volume 2:

Fly High Extra - Aoi High!
"The Secret of Meru's strength is revealed!?" This is a short story of how Meru's parents got together.

Ouka is the great empire that rules over 1/3 of the world. To prevent conflicts from the other countries, they hold the battle competition once in every 8 years. In this competition, 5 candidates, known as "Patriots", from each countries are to battle against each other and the winners will be granted with fame and honor. This story follows Kurou, the boy who walks the same footsteps as his father to become the strongest patriot, along with his team . . .