With SATs approaching closer and closer, can she protect the love and peace in this world? A tale about Han-Yurem, who became a magical girl in her 3rd year of highschool, and the mysteries that surround her.

From MangaHelpers:

28 July 2061 was an unlucky day for Raiji, in which he was falsely accused of being a groper on public transport. That evening, he joined his friends, Yuma and Osamu, to watch Halley's Comet. The comet appeared to arrive a few hours ahead of schedule, but it didn't just pass by in the night sky. Instead, there was a blinding flash, and all the people Raiji and his friends had been watching with vanished. Not only that, but the area around them was suddenly filled with nightmarish giant mushrooms and twisted human faces. In this new, violent world, the three of them will encounter dangers human and inhuman! [tethysdust]

Blue Dragon, Red Phoenix, White Tiger, and Black Tortoise.
To stop the sacred spirits of the Heavenly Realm wreaking havoc in the world of humans, successors of the Four Deities are born in each generation to guard the barrier with the Heavenly Realm, using the powers of the four sacred spirits. And the place they gather to train before they ascend to heaven is Doonggule, a traditional tea house in a small country town.

This manga is set in the Western Xia state at the beginning of the 13th century, when there were violent, ongoing incursions by the Mongol army. Guided by Suzuki, a student who has transferred from another school, a present-day boy called Sudo, a high school student who has been plagued by a vivid dream of a battlefield, is reborn as Shutohel, a female warrior for the Western Xia army, who has lived for vengeance on the Mongols, and travels to the battlefield. At the same time, the Mongol prince Yurul defies his own army, which is trying to destroy the Western Xia script, and makes plans to protect a collection of Western Xia writings. This is an epic, long-form action manga featuring elaborate, dynamic depictions of combat and the enigma of an ancient script.
Note: Won the 16th Tezuka Osamu Cultural Prize's New Artist Prize in 2012.

From Easy Going Scans:

The Great Shang dynasty has been in power for many years, but the Gods have found fault with the new emperor. Instead of submitting to their will at the expense of his people, the emperor resolves to throw off the Gods' yoke and free humanity. However, this means not only will he face the Gods, but also a rival, the young Zhou—who submits to the Gods' will for nothing but his own purposes!

The fate of the dynasty, nay, the fate of all humanity will be determined by this great battle between the forces of Heaven and Earth!

1 – Dancing Orange by Hasegawa Kouji 2 – Midoriya Rhapsody by Mikage Takashi 3 – Never Give Up! by Akizuki Wataru 4 – Vita and Vivio’s Friendly Zoo 5 – Spending Christmas Eve 6 – One More Set 7 – Vivio’s Magic

The practitioner's Dan energy originates from the moon sun and five elements, the body has five elements, since all living things have the five elements, regarding the issue if humans can train the Dan, there are two main views: one party believes using people will result in many difficulties, thus they only use the elemental energy from external sources, they are called true practitioners, the other party believes the body is the supreme thing under the heavens, in order to increase their strength exponentially, they use other people, they are called nefarious practitioners. True practitioners and nefarious practitioners' battle, is now unfolding!!! - Gamernissem

[Summary by OSTNT] In a world of martial arts, a young boy named Wu was unable to practice martial arts due to his special body. Will he accept his fate and live his life bullied and looked down by others, or will he rise and become a master?

After the assassination of the powerful Godfather, Don Pazolini, the world has been thrown into chaos. Many mafia try to fill the power vacuum, but there is a rumor that Don Pazolini's son is hidden away somewhere. That son is Nero, an orphan who is raised in a bar with showgirls as his friends. He dreams of one day finding his parents, but he doesn't know who they are. One day, he encounters a haunted baseball bat, who names himself "Pucchi" and refers to himself as the Pazolini family 'fantasma.' Pucchi insists that Nero come with him to become the new Godfather and rebuild the Pazolini mafia family. Nero is reluctant, but quickly realizes he has no choice, since there is a price on his head and his identity is no longer much of a secret.

A group of high-school students had an accident on their way to a trip and died but they find themselves in a classroom with a black sphere.

From: Angelic Scanlations:

A practitioner's Dan energy originates from the moon, the sun and the five elements. The human body has the five elements, since all living things do.

Regarding the issue if humans can train the Dan, there are two main views: One group thinks that using people will result in many difficulties, thus they only use elemental energy from external sources. They are called true practitioners. The other group thinks that, since the body is the supreme thing under the heavens, if they want to increase their strength exponentially, they should use other people's elemental energy. They are called the nefarious practitioners.

The true and nefarious practitioners' battle is now unfolding!!!

In 2016 a meltdown of a nuclear power plant creates a big catastrophe in Tokyo. 20 years later, the city has become a ghost town due to the high levels of radiation. From that area a distress signal is received, the Self-Defense Forces dispatch three girls from the special unit Coppelion to search for survivors. But why aren't they wearing any protection against radiation?

Kagefumi Merry takes place before the events of Yumekui Merry, and follows the adventures of a slightly different Merry than we are familiar with.

On the planet Paradyze, a war between the surface and underworld has been going on for centuries. A young cyborg fox named Maze fights for the resistance against the underworld, but has lost hope for an end to the war...until an alien named Grumble crash lands on his planet, and brings with him the technology to change everything...

Plot revolves around high school freshman Shingo Susa as he is invited by his crush from middle school Sayuri Shiroyuki to the school's supernatural club. Over the course of the series Susa begins to gain supernatural powers, something that prodigy Rei Uryu, attempts to awaken to bring out the psychic giant, Susano Oh to destroy humanity and establish a new world order.

Won the 4th Kodansha Manga Award for Shounen in 1980.

From AQUA Scans:
The Thousand Years Labyrinth, a whirlpool of mystery and intrigue, Does it show despair or hope? One day, brilliant young men will be gathered at the Thousand Years Labyrinth. They thought that the ceremony to select the next emperor had started but...

Beautiful women are being targeted and horrifically killed by an unknown assailant. Cries for justice keep pouring into the police department, but the team assigned to the case is not even close to catching the evasive killer.

Just as they're at their wits' end, a reclusive young man with a mysterious ability arrives and offers the investigators his assistance...

Arisue Sei lived as happily as any normal kid would, just him and his mother -- a particularly private woman -- on an outlying island of Okinawa. There were also his friends Toichi and Moichi. The only unusual things about Sei were his sharp instincts and high intelligence. But everything changed when his mother was killed and he was kidnapped by the people of Neo Genesis. Now, six years after the kidnapping, Arisue Sei has returned to Japan with the title of "Doctor" at only the age of 18, and he's not the Sei that his friends remember. There are bodyguards with him who protect him from others who wish to possess his superb intellect. He says he's come back to assist with the research at Rakuhoku University, where Moichi now works, but here is where the door to Sei's secrets just begins to open.

Since the beginning of time ninjas have been regarded as people with great skill and power, the Blazing NinjaMan (Shinobi Mantaro) is one such young man. There is only one problem, the era of the ninja has come and gone. How can Shinobi consider himself a ninja in modern day Japan (1990s) and survive the daily rigors of high school life.

The story revolves around Tsunashi, the child of royalty who was left behind in the lost kingdom of Karan. He is expected by those around him to awaken his great powers that sleep within him in order to revive the kingdom — but rather than fighting, Tsunan enjoys playing in the world of books. However, he must become serious soon, as a new army is threatening to invade Karan.