Yamada is a castaway on an island without any ships passing by and he is unable to recall why he is there. After finding his sports bag, he assumes he was on a school trip. With only seven days worth of food, he eventually decides to make a boat to leave the island. He thought he was alone on the island until finding a girl named Imaise Chika eating his food. They then decide to continue carving the boat together. Since the boat only has room for one, Yamada decides to set off for help, but returns upon noticing that not only has Imaise put her share of rations in his bag, they are mostly untouched as well. After returning, he notices she made the oar out of a fishing lance and he decides they can live on the island longer.

It all started with the sound of an insect...out of the blue they became feral. Women infected with this sound became known as the "crazies" who infect other women and attack men exclusively. The resulting chaos devastated Japans populations as 70 percent perished, forcing the international community to cut off Japan from the rest of the world.

Under the Rose contains two stories:

Winter's Tale (Fuyu no Monogatari):
In the late 19th century England, Grace King was the daughter of a declined Marquis and also the mistress of Count Arthur Roland. After her mysterious death, her sons Linus and Lawrence were taken under custody of their father Earl Roland, who has a sick wife Anna and other children. Linus deeply suspects that the Roland family was involved in the death of his mother and thus begins his lonely investigation.

Spring's Paean (Haru no Sanka):
Rachel Brennan was hired by the Roland family as the governess for the children. The children, except the second son William, gradually began to like her. Will William also open up to Rachel too with her efforts?

From: Easy Going Scans

Yoshino Takigawa is visiting his friend's family grave. After getting there, he encounters Evangeline Yamato, a woman in search for his friend, Mahiro Fuwa, who left a month ago to find his family's killer without any clues to who it might be. Evangeline informs Yoshino that two places where Mahiro has been spotted have been quarantined, due to an epidemic.

When Evangeline is questioning Yoshino at gun-point, Mahiro comes out of nowhere and swiftly saves him and can stop bullets in mid-air, claiming to have a deal with a sorceress; not just any, but the strongest sorceress, Hakaze Kusaribe, who promised to help find his family's killer with her magic so he can kill the killer himself.

After saving Yoshino, Mahiro informs him about the epidemic, a curse that turns living things into metal, claiming the Kusaribe clan plans to revive the Tree of Zetsuen that could destroy the world.

A group of grave robbers are on the hunt for valuables inside a cave-like crypt. Little do they know that they're soon to find something or lot more unusual and a lot less forgiving than mere treasure.

Two friends with a rare penchant for trespassing on any forbidden site get cursed by the worst god of them all, calamity itself. Trying to undo their maledictions, they are thrown into an adventure of biblical proportions.

A a variety of oneshot stories related to the supposed end of the world in 2012.

5) Nature-0 by HEE-JUNG Baek
Resource depletion, environmental contamination, desertification, and foolish wars. Mankind willingly walked along the path of annihilation. And at the end of that path, those who survived relied on the power of science and conducted endless experiments to obtain the valuable source of life. As scientists are exploring the desert's fallout areas, a child-like being is found naked on the ground and was brought into an underground survival refuge. As they analyze the child, what will they discover?

8) Myum-Myum by currygom
The world is in an uproar over the discovery of a stone tablet thought to have been created 500 years ago.
The stone contains predictions of major incidents that happened worldwide in the last 500 years. All of its prophecies had already come true. There is only one prophecy recorded on the stone that pertains to the future ahead: that the world will end in a year?s time, and only those who believe in the god drawn on the stone will find salvation.
The name of this god is... Myum-Myum.

13) If the World Ends, That's Cool! by Rangto
Friday the 24th, August 2012.
The world will end due to a meteorite crash... tomorrow. But people are fine with it. No one is screaming. No one is praying. Because they are all... cool.

"The Day I Marry the God of Death" tells a story about a young girl who wants to die. She enters the forest where a shinigami lives so that he can take her live. The Shinigami says she won't die anytime soon, not until she marries, has children and grows them well. And so, the young girl says, "Marry me."

The fabulously creepy story of The Ring takes a side step from the plot of the original Japanese film, taking the reader into life after all that tragedy and mystery. And guess what? Sadako, the psychic killer, isn't so easily disposed of.

From Yen Press:

A young boy named Roxas whiles away the last days of his summer vacation with his three best friends in their quiet little home of Twilight Town. But all is not as it should be in this hamlet nestled between night and day. Strange things keep happening around Roxas, which always seem to involve mysterious creatures and he is plagued by dreams of a boy named Sora, whom he has never met. Bewildered, Roxas searches for answers. Will they lead him to Sora, Donald and Goofy?

Haimura Kiri is a seemingly ordinary boy with one slight problem: he is obsessed with cutting other people's hair. One day he meets Mushiyanokouji Iwai, the "Hair Queen" who cannot cut her hair because of an inherited curse. Kiri finds out that his scissors, "Dansai Bunri no Crime Edge" is the only thing that can cut them. But little did he know that their meeting sparked the start of an old murder game to kill the "Hair Queen" using the cursed killing tools, the "Killing Goods." Can Kiri protect Iwai from the Killing Goods Owners? Let the game begin!

Based on the widely popular light novel World Of Immortals.I am using the light novel's description below...
The World of Immortals, it is the world every mortals long for. For many, it is an eternal glory to cause a spatial distortion and enter the World of Immortals. But the vicissitude of time is simply merciless, the legends regarding immortality had long been forgotten.

However, a miracle shall rise once more! An immortal was about to split the space with martial arts and cut all ties with the mortal world. The protagonist, Xiao Chen, was caught up in it and accidentally brought to the World of Immortals. What will they find in the vast world beyond the rift?

Continues where Tantei Gakuen Q ended two years later. They are still in Dan Detective School solving cases.

Strangers ally with each other to survive a Battle Royale style game of death on a deserted island against other contenders. A lot of contestants have amnesia and each person has a life sustaining bracelet which heals wounds over time.

Beautiful appearance, beautiful food, beautiful legs, beautiful voice, beautiful skills...
Which beautiful boy is your type...?!

The trouble that arises at Private Yubiwa Academy is rumored to be resolved informally, secretively and for free, by the mysterious "Pretty Boy Detectives."
In order to search for "a star she saw 10 years ago", second year Mayumi Doujima opens the door of mystery to the 5 beautiful boys!

Boredom in middle of nowhere can never be a good thing. And the girls featured in this one-shot prove just that.

A student council president asks a newly appointed priest to help her out with strange events that has been happening around her school. But what it looks like is not what it appears to be.

The story is about a young pilot named Shin Kazama and his experiences at Area 88, a mercenary air force base secluded in the desert of a war torn country. Shin goes from head of his class at a world renowned aviation school dating the beautiful daughter of an airline president to a mercenary fighter pilot bound to Area 88 by a three-year contract that he was duped into signing by a jealous and competitive childhood friend. Determined to earn $1.5 million dollars to buy his way out of the obligation and return home, killing becomes second nature to Shin as he quickly rises to the top rank at Area 88. Overwrought with shame and self-loathing for what he has become, Shin begins to question whether he is still fighting for survival, or like his fellow mercenaries, for the sheer excitement and camaraderie of battle.

Note: Won the Shogakukan Manga Award for shōnen in 1985.

A journalist discovers a mysterious video when she becomes interested in the deaths of some local teenagers who attended the same high school. Only after watching the video does she realize that it is the missing link in the deaths of the teens. With just one week to live, she must solve the riddle of the accursed video if she wishes to save herself.

Strange events during a festival night.