From Wikipedia :

Two years ago, a pair of idols, Tsubasa Kazanari and Kanade Amō, collectively known as ZweiWing, fought against an alien race known as Noise using armor known as Symphogear. To protect a girl named Hibiki Tachibana, who got severely wounded by the Noise, Kanade sacrificed herself. Two years later, as Tsubasa has fought the Noise alone, Hibiki ends up gaining the same power as Kanade.

A small group of people, descended from a particular bloodline, have the ability to negate a sphere of reality and neatly remove it from existence. Continuous use of this power alters the user's appearance until they come to resemble a none-too-pretty alien.

But what does this have to do with an out-of-the-way town in Japan, a group of university students from Tokyo, and a series of mysterious disappearances and deaths?

In a parallel 21st century Japan, an enemy with incredibly advanced technology attacks mainland Japan from Hokkaido, shattering the Japanese Defense Forces and their American allies. Japanese military scientists use what enemy technology their troops can capture to create their own mecha to fight off the enemy's advance.

But what does this have to do with a boy named Yuu, a mechanical genius with motion sickness, and his separation from his younger sister for over 7 years? Why does she suddenly appear after all that time, dressed as a miko and shadowed by a fox, at the temple where Yuu lives with his uncle? Is she who she says she is?

She reappears in his life just as military secrets and his own secret burden of a psychic power shake up his socially estranged life. And then the war advances...

beginnning with the Bloody Valentine War between Earth and the colonies,On one side is the Earth Alliance, and on the opposite is the space colonies that form ZAFT (Zodiac Alliance of Freedom Treaty). Mankind is divided over human genetic engineering, with normal humans known as "Naturals" and the genetically altered humans known as "Coordinators".While ZAFT has a head start on mobile suit design, the Earth Alliance quickly catches up with its five prototype Gundams. With ZAFT having stolen four of the prototypes, young Coordinator Kira Yamato pilots the GAT-X105 Strike Gundam and is forced to fight his old friend Athrun Zala. Little do they know that there exist sinister forces working to bring about events that go far beyond their worst nightmares. -Taken From Wikipedia

"Magic" is a product of neither legends nor fairy tales. It has become a technology of reality for nearly a century. Various countries in the world are locked in a race in nurturing Magicians.

Shiba Tatsuya is a reserve student with poor magic ability at First High School, a magic high school along with his sister who happens to be the top student among the freshmen. What will happen to him? How will he live his school life where he is one of the many reserves in the school looked down upon by the chosen magical students?

(Adaption of Light Novel v01-v02)

From MangaHelpers: Even though the war has already ended, the sky has always been full of fighter planes for Iono Akatsuki. But he never really cared why. He just went to school and carried on with his life. Akatsuki has always had better vision and body movements than the average human, but the most he got out of it was never losing a fist fight. His adopted brother, Seibu Tsubasa, who he met five years ago when they were both 9 years old and who has been like a real brother to him, on the other hand, is a genius who got his doctorate at the age of 9, and teaches Akatsuki’s class at the middle school. But Akatsuki’s life changes when he learns about his Kigan or machine eyes, an ability only a handful of people in the world posses that allows the body to not have any limits. For example, one would be able to see at almost 360 degrees and process all the visual information available, while making decisions faster than an average human can even begin to imagine. Now as a pilot for the Warbird jets that he saw in the sky everyday, he has become the military’s secret weapon against the impending restart of the world war. [vyc]

Promo comic by Artlim Media for the second season of the Freezing anime. Recap of Freezing season 1.

Ichihara is a boy living with supernatural powers and is treated differently by everyone except by his mother. He is trying to live a normal life but instead everyone wants to fight him and calls him a monster.

UFO Robot Grendizer is the third entry in the Mazinger Trilogy by Go Nagai, following Mazinger Z and Great Mazinger. This particular incarnation was illustrated by Gosaku Ota and published in Boken Oh, Otomodachi from October 1975 – March 1977. It follows the adventures of Duke Fleed, the sole survivor of an attack on the Vegan Empire, who defends his second home, the Earth, from the Vegan attack, together with the giant robot Grendizer.

Fourteen-year-old Kouichi Hayase’s life has always been a mediocre one, if not dismal. However, those days of being bullied by classmates and escaping to a fantasy of being a hero are put to an end when a certain “accident” bestows on him a girl and a gigantic humanoid robot called “LINEBARREL”. The extraordinary power that Kouichi obtains puts him and everything around him on a sudden rollercoaster ride of battles, intrigues and friendship! During the course of his adventure, the boy starts to learn what life has to offer; he meets new friends, bids farewell to the old ones, but most of all he now has considerable responsibilities and is forced to confront the world around him.

Planet Shaolin -- considered to be the origin of all the space martial arts. And on this planet is the holiest of holy lands for space martial artists, the Kunlun Mountains. And on top of Mt. Kunlun is the Space Shaolin Kunlun HQ. And at this very Shaolin Headquarters... if you go way, way down to the very base of the mountain, next to the entrance you can find a shabby dumpling shop, where our heroine lives...

After being kidnapped by the cult Gorgom, Kotaro Minami were submitted to a mutant surgery with the purpose of becoming the candidates for the next Gorgom Devil King. Kotaro escaped and turned against Gorgom as Kamen Rider Black.

The story takes place on a island with no people to live on it expect one man named Oomori. While he was trying to sleep one night, a little spaceship landed in the water by his island. It appeared to be an alien named Jako. Jako's spaceship is broken so he has to stay there until it is fixed. He says he as come to Earth to learn of it's ways. And Oomori doesn't like people but decided to help him.

One of Go Nagai's first works, this violent period piece takes place in the 1500s and stars a talented, low-ranking ninja named Shishimaru. In it, Shishimaru fights against Ginnai Doma (an immortal samurai who, despite being butchered multiple times, doesn't die) because Ginnai murdered his comrades.

Despite being set in historical times, it has time travel, aliens and the alternate universe war.

From MangaHelpers:
The world is in a war against an alien race called "Mimics," who have taken over most of the world with a mission to eliminate the human race. Keiji Kiriya is a new recruit in the United Defense Force, which is battling against these "Mimics." On his first day of deployment, Keiji and his unit encounter "Mimics" and are all killed... Or was it all a dream? For some inexplicable reason, after every time he dies, he is resurrected and returned back to the day before the battle. Why does this happen to Keiji and how can he escape from this never ending cycle?

Note: Nominated for the Eisner award for the "Best U.S. Edition of International Material - Asia" in 2015.

The story behind the day of Full Moon three centuries ago and the day of Full Moon present day. The story is revealed around the gods and people involved in the incident!

Her grandfather has passed on, leaving a mecha in his likeness to help her. Has he left other gifts and will she ever truly understand?

2011, Seta Souji moves to the countryside to his uncle's house due to his parents working abroad. Not very friendly, he however managed to make a few friends there, and they all decide to solve the mystery behind the sudden cases of serial murders that strikes the area.

Ryu stows away on a space vessel, only to be found by the crew when it's far to late to return to earth. So they stick him in a spare sleep capsule instead. Things take a turn for the unexpected, however, when Ryu wakes up to find himself the sole survivor of the expedition, the spaceship having crash landed on a grossly mutated and wholly unfamiliar Earth. Joining forces with fellow survivors from a different crash, Ryu and his comrades fight to survive on this new and deadly Earth as they search for any humans that might've made it through the mysterious apocalypse.

Space Dandy is a dandy in space! This dreamy adventurer with a to-die-for pompadour travels across the galaxy in search of aliens no one has ever laid eyes on. Each new species he discovers earns him a hefty reward, but this dandy has to be quick on his feet because it's first come, first served! Accompanied by his sidekicks, a rundown robot named QT and Meow the cat-looking space alien, Dandy bravely explores unknown worlds inhabited by a variety of aliens. Join the best dressed alien hunter in all of space and time as he embarks on an adventure that ends at the edge of the universe!
from Bandai Visual