Kagome is a modern Japanese high-school girl. Never the type to believe in myths and legends, her world view dramatically changes when, one day, she's pulled out of her own time and into another! There, in Japan's ancient past, Kagome discovers more than a few of those dusty old legends are true, and that her destiny is linked to one legendary creature in particular--the dog-like half-demon called Inuyasha! That same trick of fate also ties them both to the Shikon Jewel, or "Jewel of Four Souls." But demons beware...the smallest shard of the Shikon Jewel can give the user unimaginable power.

Won the 47th Shogakukan Manga Award in the Shounen category.

Following the Tuatha de Danaan's seajacking incident, things are back to normal at Jindai High School in Tokyo, or as normal as they get with Sousuke guarding Kaname. After finding out who betrayed Mithril and caused the seajacking incident, Kurz and Mao are sent on a top secret mission in order to capture and bring the traitor back.

However, Sousuke and Kaname's lives are about to change when they meet Leonard Testarossa, a high ranking member of a mysterious group named Amalgam. After their meeting, Leonard warns her that he would do anything to recruit her even if it means war in the streets of Tokyo.

From Yen Press:
The air of celebration surrounding fifteen-year-old Oz Vessalius’s coming-of-age ceremony quickly turns to horror when he is condemned for a sin about which he knows nothing. He is thrown into an eternal prison known as the Abyss, from which there is no escape. There, he meets a young girl named Alice, who is not what she seems. Now that the relentless cogs of fate have begun to turn, will they lead only to crushing despair for Oz, or is there some shred of hope for him to grasp on to?

Dragon Ball follows the adventures of Goku from his childhood through adulthood as he trains in martial arts and explores the world in search of the seven mystical orbs known as the Dragon Balls, which can summon a wish-granting dragon when gathered. Along his journey, Goku makes several friends and battles a wide variety of villains, many of whom also seek the Dragon Balls for their own desires. Along the way becoming the strongest warrior in the universe.

Three students battle sadistic professors, annoying roommates and evil conspiracies at a second-rate university for superheroes. A French comic with heavy stylistic influences from American comics and Japanese manga, and tons of pop culture references.

From Anime News Network:
The story begins in the distant future in the far reaches of the galaxy. The Human Galactic Alliance has been constantly fighting for its survival against a grotesque race of beings called "Hidiaazu." During an intense battle, the young lieutenant Ledo and his humanoid mobile weapon Chamber are swallowed up into a distortion of time and space.
Waking from his artificially induced hibernation, Ledo realizes that he has arrived on Earth, the planet on the lost frontier. On this planet that was completely flooded by the seas, people live in fleets of giant ships, salvaging relics from the seas' depths in order to survive. Ledo arrives on one of the fleets called Gargantia. With no knowledge of the planet's history or culture, he is forced to live alongside Amy, a 15-year-old girl who serves as a messenger aboard the Gargantia fleet. To Ledo, who has lived a life where he knows nothing but fighting, these days of peace continue to surprise him.

A shounen story where 2 teenagers went back in time to the "Three Kingdoms" period of China. An entertaining action series with some light moment & a bit of romance. You also get to learn a bit about that era.

From JanKenPon:
Middle schoolers, Shiro and Masumi, encountered a mysterious dragon that brought them back to the time of the Three Kingdoms; situated in ancient China. As soon as they arrived, they were rescued by the Han Kingdom. Not long after these events, Masumi was kidnapped and Shiro barely escaped death... Soon the story gets more complicated as they are stuck in the past.

In 1997, Ryuurouden won the Kodansha Manga Award for shōnen manga.

Rinosuke's useless and vagrant father is now dead. Now, at the age of 16, he is completely alone and will have to quit school to make ends meet. On the night his father dies, a naked woman with large breasts falls from the sky and lands on top of him. She introduces herself as Sakamoto Marina, the future wife of the future Rinosuke. She states that she used a time machine to come back to the past, and start a new life with the younger Rinosuke. Rinosuke's new life with his future(?) wife begins.

At age 33, I am a loser, jobless and virgin, who only has remorse and pity for myself. Called by Anna, my secret crush in my childhood, and her fiance, I come to face the reality. But after I fall from the roof (caught wearing a grade school girl's swimsuit) I find myself to be back in the past. Now I will get my life back.

From: Easy Going Scans
As a result of a strange encounter with a mysterious carcinogenic fetus he found inside a patient’s skull, brain surgeon MINAKATA Jin has slipped back through time. Equipped with modern medical knowledge, he faces various fatal diseases and injuries. Then, he meets the ordinary people of Edo as well as illustrious figures, and his surgical knife carves out a new history and story of life.

Note: Won the Grand Prize at Tezuka Osamu Cultural Prize in 2011.

Released in English by the Artist on his Patreon:
https://www.patreon.com/motokamurakami

Feeling rebellious toward his overprotective and neurotic mother, 16-year-old Souma Mitsuya cares only about his violin and his hospitalized grandfather. On the night his grandfather's condition suddenly worsens, an earthquake hits, and Mitsuya finds himself lost and alone in Japan of the year 1921.

Struggling manga author Satoru Fujinuma is beset by his fear to express himself. However, he has a supernatural talent of "noticing things" that forces him to help people.

Boku dake ga Inai Machi Gaiden