It's about an odd girl doing odd things.

1-3. Goshimei desu!
Renjouji Kiriya holds the coveted position of the number 1 ranked host at a high-class host club "Chateau du Amour" in Tokyo. The Chateau du Amour specializes in providing the company of beautiful, cultured men to female customers. Few people know that the popular Kiriya is actually Yamada Kotarou, a boy from Nagasaki who came to Tokyo to find a way to repay his parent's debt.
Some of the other hosts, jealous of his position, are determined to get past his perfect facade to discredit him. Kiriya will have a hard time stopping them, especially after a former customer dumps an adorable 5-year-old girl on him, claiming he is the father. The only thing that could make this situation more difficult would be the arrival of his Nagasaki girlfriend Miharu, who knows nothing of his career as a host...

4. Apple!
A kind-hearted guy who grows up eating cakes and whose parents own an tartlet cafe, wants to be the ultimate gang leader. A villainous girl who was brought up in a family of gangsters wants to be the owner of a tartlet shop! How will the pair cross one another's path with their dreams of the opposite party?

Daniel didn't want to be kissed by Kaname, while Kaname wanted to kiss Daniel. They played a tennis match in the Junior World Open to determine it and Kaname won! What will this mean for their future games? As their age, talent progresses, so do their stakes. It starts with a kiss on the lips, then nipples, then......

In the Mazinger Otome series:

V.1 - Mazinger Otome

V.2 - Mazinger Otome Taisen

The story starts with a seemingly unassuming class rep Adachi Hana who has taken an interest in the school's known delinquent, Shinagawa Daichi. Just what is her reason for following Daichi and wanting him to go on the class field trip?

Included in volume 11 is the story called Fairy Megane, a crossover between Fairy Tail and Yanki-kun to Megane-chan.

A spin off based on Ai's usual antics of "trying to get closer to Ta-kun" from even before affiliating herself with the Jien Otsu club.

25-year-old Haduki-san has no experience in romance but ends up being pushed into a relationship by her younger sister. Her partner is a high-school boy!? A timid love story begins.

From Fifay.net:
Naoto is a stressed-out college student doing his best to juggle the eccentricities of his divorced parents with his own burgeoning romance. His stress deepens after his gay father proposes to the handsome and elegant male lover. This is a humourous series by Ima Ichiko about the modern, dysfunctional family.

Tsubaki is a girl who loves making her younger sister's hair pretty every morning, but she doesn't think that kind of style suits herself! The day of her High School Beginning Ceremony, after she failed in being the top student (who usually makes the ceremony speech), she finds herself sitting next to the actual top student of the first years, the worst rude guy ever, Kyouta. She ends up cutting his hair on purpose because of the bad things he says to her. Kyouta demands that Tsubaki pay him back with her body, but Tsubaki fixes his hair instead--making it even shorter! After that, Kyouta unexpectedly kisses Tsubaki and swears that he'll make her his woman.

From Viz:

Yuji has just started a new semester of high school and everything seems to be normal. That all changes when a mysterious man named Friagne begins turning people into blue flames. And wouldn't you know it? Now he's after poor Yuji!
To the rescue comes a girl named Shana. But is she too late? As it turns out, young Yuji may already be dead. What the heck is going on?

A Spinoff of Senyuu.
A story of how Ros and Alba meet.

Jinbe is a very subtle and soft tale by Adachi, and certainly it'a story that deals a theme a bit more conflicting than most of his other works.

At first sight, Jinbe is the story of a young 17 years old girl, Miku Takanashi, who lives alone with her stepfather Jinpei Takanashi (nicknamed Jinbe or shark).

Jinbe has been living with Miku since his marriage 4 years ago, and considers Miku a God's sent gift from his high school sweet heart late wife. While Jinpei does his best as an overprotective and jealous father, we have that Miku holds feelings for Jinbe which are much stronger than the ones an adopted daughter is supposed to have. The main core of the story is to deal how the strong, tender and unrequited feelings of the young Miku put to test their stepfather and stepdaughter bonds, without jeopardizing any of the happiness that she feels by being close to him as a proper daughter.

In 2700 AD civilization falls into chaos after a series of natural disasters re-shape the world. Countries and people are torn apart. Or, far worse, forced together. Society fractures.

Now it is 3000 AD. While humanity has survived and has the use of some technology, it's level and usage is uneven. With the help of the Cult of Saint Ruka, life goes on... except where members of "Madness" (a crazed group of individuals who enjoy causing murder and mayhem) wander through the area. Wherever "Madness" appears, death is left in their wake. Until three years ago when the leader of "Madness", Kyou, was supposedly killed.

Left for dead, Kyou lost his memory and was imprisoned in a cage beneath a Cult church. The local priest, Izaya, looks after Kyou, trying his best to instill kindness and compassion. Until the day that "Madness" arrives...

Sumire is a 17 year old high school girl who wants nothing more than to make friends with her new classmates. She's so disappointed that they all seem to hate her, calling her a pervert, a dirty old man, creepy, weirdo... alas, what is a poor life-sized puppet to do in this cruel world.

Katsuragi Keima is known on the net as the god of getting the girls while in real life he’s known as otamegane and he hates all real girls. However he is approached by Elsie, a devil from hell, to help her in catching runaway spirits that hide in people. Apparently the spirits only hide in the hearts of girls and the only way to get the souls out is by making the girl fall in love so the spirit gets forced out. And he’s not allowed to fail or he will lose his head.

Former samurai Uedo Ushinosuke wonders in the streets of Tokyo during the time of Meiji restoration. Would he settle down during this changing time where samurai are no longer needed or fight for one last time for his pride as a samurai?

From Entropy:

Ageha is a high school student who has taken over the role of housewife ever since his mother passed away. He has two younger brothers whom he must care for, and a useless father who is always out dating women.

There's a girl that Ageha likes--his classmate, Nina. She tells Ageha that she's in love with a handsome, popular singer. Ageha decides to sing on stage at an open mic session to prove to Shinna that he can be like that guy, too. But just after he starts to sing, someone interrupts and abducts him! The stranger is no other than Miyamoto Range, the singer whom Nina loves.

Range wants Ageha to join the Shibutani Alliance Cub—his band—and is relentless in his pursuit. At first, Ageha thinks that Range is annoying. But little by little Ageha is won over by his charm. Will he be able to accept Range? Will Nina ever return his feelings?

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 Delish Scans:

Facial communication, no words necessary.

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Two children, a girl and a boy, pass each other on the way to school, everyday at the same exact place, at the same exact time. They never talk only making funny faces at each other. But one spring, something's bound to change...

Fat school delinquent meets cute, shy girl.