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High school senior Gwon Kang-Han lives a fairly ordinary life with two troublesome parents. He thinks he's been playing too many RPGs when he has a strange dream in a fantastical setting, but that isn't the end of the odd experiences he will encounter, as he discovers the next day at school: in fact, his adventures seem to be just beginning.

Taken from Deja-vu:
In a world where djinn rule and humans are enslaved, Toto and Loukir break the seals of the century-old prison of the "gentle genie," Rampou, in order to try and save their country...

From CMX:

In the late-medieval land of Barnard, between the mountains and sea, the peaceful lifestyle of the people has been shattered by fear. Monsters known as the Dark Ones roam the land, killing indiscriminately. The townsfolk fear to venture out from their homes, and travel from town to town has become a risk to life and limb. To protect the people from this terror, several guilds have sprung up, including the Guild of Assassins and the Guild of Mercenaries. To go out into the world, or travel across the wilderness, hired mercenaries are essential.

One man has built a reputation as an especially fierce monster-killer — a man known as Leroy Schwartzer. A former high-ranking member of the Guild of Mercenaries, Leroy has struck out on his own. Many try to hire him for his superior skills, but Leroy has his own agenda. He has a mission to accomplish, a vow to fulfill. This vow is known only to himself, and his one companion: his sentient long-sword Ragnarok.

From Yen Press:

Rejected by the girl of his dreams for some guy named Moriya, Kazunori Akabane is royally ticked off when he unknowingly collides with his rival in the school hallway. Unexpectedly, the accident warps Akabane and Moriya to a magical realm full of wizards, princesses, and monsters! But much to Akabane’s chagrin, the key to the classmates’ survival in this world is…the exchange of their bodily fluids! Can Akabane ever get used to the idea of swapping spit with a guy?!

From ADV: A pizza delivery boy must save the world! Young Kenta Akagi has never been anywhere except for his hometown of Lutzheim, where he currently ekes out an existence as a pizza delivery boy. Faraway places, strange foreign folks, the wars they fight, and the adventures they have are just stories to him, until he meets a young girl - the kind of girl that wars are fought over! People seem afraid of her, but Kenta doesn't understand why. All he knows is that he seems to remember her from somewhere, and that he has to protect her no matter what!

In the tradition, it is only the strongest women that can rule this kingdom. The battle that decides the strongest woman done once every four years. This battle is called Queen's Blade. Erina is ordered to bring back her runaway sister, Reina, who's participating in the Queen's Blade tournament.

"I am going to marry Adui when I grow up in the future and protect our blissful lives with my own hands!" That was the oath Princess Qiuqiu took when she was a child, and it was about to come true. On the day of the grand ceremony of her marriage to Prince Adui, he mysteriously disappeared! Faced with the incessant obstruction from her overprotective elder brothers, Qiuqiu left the palace and began her adventure in search of the missing prince.

A Japanese police officer named Kyo Kugayama and Kyo Hoshina, a 12-year old genius with an IQ of 250, embark on a quest to investigate a person known as the Professor. Nothing is known about him, except he is said to be a genius like Hoshina and said to be linked to multiple bombing attacks in Japan when Hoshina was recalled from the US to assist the National Police Agency in their investigation of the bombing cases.

Jin Ah enters the mirrored land and is unable to leave. An adventure awaits her as she attempts to escape from this new world.

From Tokyopop:
Three hundred years ago the Dark Magician Deshwitat Lived Rudbich, a vampire, was sealed in limbo by the Light Magician Kalutika. Resurrected in the present day, Deshwitat has vowed to destroy Kalutika, and now, with the help of a team of spiritual warriors, seeks the means to use Light Magic to achieve his ends.

Motoba Hitachi has lived a boring high school life, until his kouhai invited him to a real-life simulation event of Incubate Castle, an online game they both played. But, what seemed like a harmless replication of the game turned out to be as real as it could get. Now, Hitachi must find allies to get out and survive this reality of a game.

From Viz: Yomiko Readman's love for literature goes far beyond any run-of-the-mill bookworm's! In fact, she has a supernatural ability to manipulate paper in the most amazing ways. From turning a tiny scrap into a lethal throwing dagger to making a single sheet hard enough to block bullets, she's only limited by her imagination. She uses her phenomenal power to seek out legendary books containing secret information that, in the wrong hands, could be dangerous. Backed by a Special Operations Division in England, Yomiko has her hands full battling evildoers, saving the world, and trying to find time to curl up with a good book.

From CMX:
Sakuya and Wakyo are reincarnated and reunited only to discover that Bishu-sama - their master and mentor from a past existence - is in their midst and in grave danger from vengeful demons! Still unsure of their own powers and the nature of their cunning and elusive enemy, they must race against time to rescue Bishu from the dark forces that roil within his reincarnated form.

In a world similar to that of Scheherezade's tales, a mysterious young boy named Aladdin drifts from place to place with his djinn Ugo. Ugo lives inside a golden recorder, and Aladdin is on the hunt for his true container "The Djinn's Metal Vessel".
One day he encounters Alibaba, a poor lad determined to enter one of the mysterious Dungeons that popped up a decade ago in order to make his fortune. Thus the the two begin their adventure in a Persia that never was.

Oneshot that led to the series One Piece.

*Note: There are actually 3 versions of Romance Dawn that were written: This one was written first, then the one featured in Wanted!, and then the final version that is officially part of One Piece.

From manga-koekje:
Imagine a world full of flying dragons, talking mushrooms, burning forests, supernatural bisons and many more strange creatures... Well, Mondo, Rokuna, and Dr. Hiiragi go on some crazy adventures taking on lions and crazy monsters in hopes of creating a passageway between worlds so humans and monsters can live together.

A famous grim reaper without any fail.
Westernburg city's best hunter, Roi, known as 'Roar Scyther' for his trademark gun by the same name, goes on another mission for money!

Witnessing the death of his parents at a very young age, the main character lives in solitary confinement in a forest while trying to hide from monsters. One day, a creature comes claiming that he's a threat and therefore must be killed. Though bewildered and scared, the main character saves the creature from death. It decides to postpone the killing and leaves without any further revelation of the truth behind the statement.