The Norse god of mischief Loki has been banished to the human world in the body of a young boy. In order to redeem himself, he sets up a detective agency and dispels the evil residing in people's hearts. He is joined by Mayura, a spiritually clueless high school girl with a passion for mysteries, and eventually, other Norse gods begin appearing around Loki for unknown reasons.

Marichen finds herself in a different world when she wakes up. The only way to get back home seems to be finding three elements and bring them somehow back to her dream. The three elements are: Peace, Compassion, and Eternity. Her adventure to seek them out begins, or not.

Note:
The plot is very much incomplete, but the author made a note in the end of the book, stating that she is fully aware of it and that she had to end the series due to some issues. She claims that she plans to restart it one day again, but apparently, the author discontinued this series in order to start a new one, Shining. (JanimeS)

[From Viz]:

Ginta Toramizu is a 14-year-old kid who doesn't have a lot going for him: he's near-sighted, doesn't do well in school, sucks at sports, and to top it off--he's short! But Ginta is a dreamer and has had the same dream 102 times, always in the same fantasy world, where he is a hero blessed with all the abilities he lacks in real life.

Then one day a supernatural figure appears at Ginta's school and summons him to a mysterious and exciting new world! In this strange universe filled with magic and wonder, he is strong, tough, agile--and he can see without his glasses! Thus, Ginta begins a mystical quest in search of the magical items known as "ÄRMS," one of which may have the power to send him home. Joining him on this epic journey are his companion Jack and the valuable living, talking, mustachioed iron-ball weapon known as "Babbo," which everyone wants but, it seems, only Ginta can possess!

In a world where demons and humans are at war, there exists a Demon King, whose voice holds a power that destroys all in its way. When an unusual Hero attacks his castle, what's a Demon King to do other than confess his love? But thanks to meddling minions and the inconvenience of a voice that destroys everything in its path, his confession may not go according to plan...

From Del Rey:
Junior high schooler Nina is ready to fall in love. She's looking for a boy who's cute and sweet and strong enough to support her when the chips are down. But what happens when Nina's dream comes true…twice? One day, two cute boys literally fall from the sky: they're both wizards and they've come to the Human World to take the Magic Exam. Their success on this test depends on protecting Nina from evil, so now Nina has a pair of cute magical boys chasing her everywhere she goes! One of these wizards just might be the boy of her dreams…but which one?

From Tokyopop:
Yayoi, a spunky high school girl, has inherited spiritual powers from her mother, and she uses these powers to protect people. During a fight with the devil Ura, Yayoi's power turns the devil into a black kitten. Now, even though Ura doesn't hide his desire to "eat" Yayoi's power when he gets the chance, they develop an interesting relationship: the two begin living together, and Yayoi takes her new feline "friend" on her adventures.

From Aerandria Scans:

The kingdom of Gulba is racked by rebellion against its young prince. A special guard has been formed to protect the realm against the rebels. They are led by Captain Carla, the Beast Tamer. And her "beast" is tall handsome Hazel, her aide and bodyguard--and the only one she trusts. Vowing to avenge her father's death at rebel hands, Carla rescues Hazel from a circus to raise and train herself. The rebels have stepped up their attacks, there's a traitor in the guard ranks, and now Hazel is acting strangely. Can she really trust him after all...?

Akira Nikaido is a typical slacker high school student who thinks he has a normal life--until a mysterious man called Shirogane appears and tells him to meet him at the school that night. He is skeptical but goes anyway... and gets attacked by a shadow monster! Shirogane convinces him that the balance between the human world and the shadow world has been distorted, and that Akira must become a shin--a creature of the shadow world--in order to help restore the balance.

Keidai Saeki is a high school student who remembers his past life in Pompeii, living as the Italian warrior Sirix. His friends around him are all also reincarnated - although they don't quite remember things the way he does. Keidai's wife from the past? She's now a middle school boy - while his best male friend is now a cute girl?! Throw in a case of love at first sight, and you have a new look at romance - manga-style!

From HMR:
This is the sequel series to Sexy Simpleton, but don't worry you won't be lost! Eun Bi, the popular CF model, is back in modern times with her ancient Chinese boyfriend. Yet the adventure's not over yet, as she's transported back into ancient China. Will she manage to find the shoes that can bring her back?

1-3) Blue Grey Dream
After the failure attempt of eloping with his customer, Shiki (Purple Ghost), a male prostitute, gave up his hope for love… until Ootori-sensei came along. Will Shiki finally find what he had been looking for…!? So what if there's a huge gap on their social standings, what's so wrong about living and loving for the moment? Enjoy this forbidden love story in the red-light district.

4) Untied Heartbeat
Shinobu and Washizaki parted ways in the most terrible of circumstances and after the many years that have passed, Shinobu is still scarred by the incident. When Washizaki returns to Japan and seeks treatment for cancer at Shinobu's hospital, Shinobu must face his past and find a resolution to the difficult feelings he's hidden deep inside.

5) Heartthrob Prince
Noriaki, a normal Japanese high school student befriends transfer student, Zeid, a prince from overseas. As Zeid accustoms himself to Japan, Noriaki, although frustrated with Zeid's broken Japanese, finds the prince increasingly more charismatic and charming. Can Zeid charm his way into Noriaki's heart, and ultimately, his bed?

A small intense boy, Fei, suddenly appears in front of Masaki who just got dumped. But why does he lick her tears?

From Broccoli:
When Kaya runs into trouble one day, it’s not a knight in shining armor, but her stuffed animals that come to her rescue. It may sound crazy, but Kaya isn’t pretending: she loves her stuffed animals so much, they come to life and turn into people! Plushies come in all different shapes and sizes, and so do their hearts—whereas some are nice, there are others who are not so kind.

From Seven Seas:

Death Jr. -- you've played HIS PSP game, you've read HIS comic! Now get ready as we turn the tables and shine the spotlight on a force as powerful as the son of Death himself -- his girlfriend!

Pandora discovers a secret portal that sends her to the future and into the body of her teenage self. Besides having to grapple with teenage angst, she must save the future DJ from his greatest enemy yet -- a snake-haired foreign exchange student with a deadly gaze and even deadlier intentions!

An eccentric witch chooses a useless scarecrow to be her familiar, but why? A fantasy romance that resounds in the heart!

A cute short series about friendship and magical adventures.

Wi-Lan is a poor girl that was born in a poor fisherman family. She yearned to go to that high standard private high school. When she received the entrance letter, she was so happy, but then she became the laughter of the whole school for being the poorest kid in the school. She was teased and pranked. Until a few weeks ago, a new student transfered to their school, San-Yue. Wi-Lan had a crush on him along with the rest of the girls. When she confessed to him, he ran off without saying anything. Apparently, he and his family are hiding a dark secret...

Ash may think he's seen everything when it comes to Pokemon, but is he ready to face the mysterious Darkrai in his latest awesome adventure? While touring Alamos Town, home of the Space-Time Towers, Ash and his friends discover that the town's special garden has been ransacked. Some of the townspeople immediately blame the destruction on Darkrai, a sinister-looking Pokemon said to haunt the garden. But is Darkrai alone responsible for all the strange happenings around town? And what is its true nature? Will Ash and his friends discover the answers in time to save Alamos Town? There is a movie of this.

From the exciting new animated chapter of Ash and Pikachu! Shaymin, the peaceful Gratitude Pokémon, lives happily in forests and fields of flowers. But one day Shaymin is accidentally drawn into a battle between the Legendary Pokémon Giratina and Dialga. Whisked away far from home, Shaymin is found by Ash, Dawn and Brock, who soon discover that this new Pokémon is full of surprises! Of course Team Rocket wants to get their hands on Shaymin, and so does a mysterious man named Zero. Even Giratina is in hot pursuit of this little Pokémon—and just what do Giratina and Shaymin have to do with the dimension known as the Reverse World?