There is a legend that the gods granted the hero a task, which is to raise a little girl into something extraordinary. In this story, this young girl is Yushi, a 17-year-old girl that has been put under a spell: her body stopped aging ever since she was ten years old. She has been selected as a candidate to become the next Puchi Puri Princess. The girl selected to be princess will receive a magical tiara which grants the wearer anything she wants. This means that if Yuushi becomes princess she can wish her spell away! However, the competition is stiff and Yuushi still looks like a 10-year-old girl. Source: Baka-Updates Notes: This manga details the beginning journey of Yushi becoming a candidate and attending an academy where she will be trained the modesty of being a potential Puchi Puri Princess. The story is to be continued in the anime version of this title

From Peccatore Sanctuary:

Murakami Keisuke possesses beauty which cannot be missed, many people admire him due to his beauty. But he has never accepted any one of these people. One day student council president Masaki, due to some incident started to become close to him...

Yukiteru "Yuki" Amano is a loner who never really interacts with people and prefers writing a diary on his cell phone with his imaginary friends Deus Ex Machina, the God of Time and Space, and Muru Muru, Deus's servant.
However, Yuki soon learns that Deus is real when he makes Yuki participate in a battle royal with eleven other people. Within this "Diary Game," the contestants are given special diaries that can predict the future, with each diary having unique features that gives them both advantages and disadvantages.
The rules of the game are simple: the contestants have 90 days to find and kill all the other contestants, and the last one standing will become the new God of Time and Space

After the passing of her parents, the 9-year-old Rin from Enoshima finds herself living alone and running her family eatery all by herself while also being a student. The quality of the food she serves is poor, and her financial situation leaves much to be desired. However, her sincere and cheerful attitude draws in people who aim to help her be successful.

Kidou Ryodan Hachifukujin is set in the near future where Japan has been subjugated by China and now fights against its former ally America under the Chinese banner. Fukujin, literally “luck god,” are advanced armor suits that are impervious to most conventional weapons. The story follows new recruits in the army of Japan, in a war-torn future.

An eccentric girl, a pacifistic guy, and the Fukujin figure in a story about war, violence, and militaristic subservience.

This story is a love story weaved by a cursed girl, a cursed straw doll, and a mathematics teacher. A slightly sorrowful, warm love story that started in the season of spring.

From Viz:

Are the woes of the present meant to be endured for the promise of a better future or to atone for past wrongs? In a captivating epic of love, fate, and faith, seven young people must struggle with this spiritual puzzle as their alien past lives threaten the future.

When a transfer student arrives from Tokyo, Chizuru immediately develops a crush. Surprisingly, the beautiful and stylish transfer student joins Chizuru's group of friends. Will a closer relationship develop between Chizuru and Kanae?

Also contains two other stories (unscanlated) :

• Tojitete ne, Kokoro (Keep Your Heart Closed)
Azusa is Kiwako's older cousin by one year and they've had the same unchanging relationship even on until high school, even after Kiwako moved in with Azusa due to the death of her parents. They've always been close, but Kiwako decided to take it a little further. However, this now presents the question of whether it can last...

• Kore ga Koi nano ka Wakaranai (I Don't Know if This Is Love)

Kii-chan has caught her boyfriend cheating on her more than once and she’s finally had enough! She come crying to her friend, Tsuki-chan, and apologizes since she always does Kii-chan’s makeup and makes her cute to cover up her hot-headed nature.

After Kii-chan’s crying, Tsuki-chan redoes her makeup. Then Kii-chan begins to wonder if anyone will ever love her, to which Tsuki-chan gives her an interesting answer...

In a forest, there lived several demons, and one ugly monster named Kavo. He lived his days in loneliness until one day he saw a middle-aged man being assaulted by three other men. Kavo tears down the attackers, saving the man, Liam.

Liam is the first human to not scream and run away at the sight of Kavo -- in fact, Liam seems quite eager to repay Kavo for his kindness...via kisses and sex! Although shocked by his easy-going, smooth personality, Kavo is unable to leave the defenseless Liam alone and decides to be his escort through the dangerous forest. This is the story of an ugly monster and his human companion that is a total flirtatious beast!

A manga adaptation of the novel series of the same name. A collection of stories from the Love Live!'s cast, each one centering on a different girl.

Serie included many short stories. Many chapters haven't been scanlated yet.

A girl finds her friend has been possessed by the ancient spirit of an American Indian warrior, who has been involved in the deaths of numerous presidents.

Saitou is a young doctor who just graduated. Starting his career as a doctor he finds there is a lot more to this profession than one would think. An intense drama about the dark side of the medical world. -- Manga Updates

Kasagi-chan is an member of an alien race of females called the Arume. She spends her time playing matchmaker for unsuspecting cute Earthling girls.

From Manga Box:
Satoru Hasegawa, a young real estate agent, lives together with his equally young wife, Aya, and their daughter. Five years into their marriage, he's not particularly dissatisfied with anything, but he's got a secret that he can't tell a soul! Satoru is helpless before Sayaka, an escort, and Eri, his boss at work, and he's been carrying on lively affairs with both of them. But then he meets a woman with the faint aura of first love... This is a romantic suspense story about a man who can't tear his eyes away from that sweet but dangerous trap.

From Aerandria Scans:

Takamura Uru takes her mother’s remarriage as an opportunity to strike out on her own and begin a part time job. Filled with the thought of “If only I could make someone happy…”, she begins working at Café Bohneur, a shop famous for cakes; but the employees, Ichirou-kun and Shindou-san, turn out to be incredibly unsociable. These two, though frightening at first glance, begin to change something inside of her. This is the start of a romance about Uru’s search for happiness.

Contains the Oneshot "Suitei Seinen Shoujo"

From: Easy Going Scans

Moon Ah, the wandering physician has come with her assistant, to cure the disease of a high-class boy. After curing and helping the boy, it's time to part. However, the boy has grown attached to Moon Ah and he wishes to journey with her. With a new companion, Moon Ah continue to stride through the land of gods and mysteries.

A young girl transfers to a new school. Greeted by a tall bug-loving-classmate, her biggest fears are now at risk of becoming known; bugs and people looking down on her.

A collection of four short stories:

• Inoribana
A puppy makes a bargain with a demon to become human so she can thank her savior.

• Souai Metaphysica (Mutual Love Metaphysica)
Two people divided by social class meet in the same place once a year for a secret rendezvous.

• Shirohana Melancholy

• Kokoro Ongaku