A Certain Magical Index

Set in a city of scientifically advanced superhuman students, but in a world where magic is also real. Touma Kamijou’s right hand, the Imagine Breaker, will negate all magic, psychic, or divine powers, but not his own bad luck. One day he finds a young girl hanging on his balcony railing. She turns out to be a nun from the Church of England, and her mind has been implanted with the Index-Librorum-Prohibitorum - all the magical texts the Church has removed from circulation.

Chivalry of a Failed Knight

The "school sword action" story revolves around Magic Knights, modern magic-users who fight with weapons converted from their souls. Ikki Kurogane goes to a school for these Magic Knights, but he is the "Failed Knight" or "Worst One" who is failing because he has no magical skills. However, one day, he is challenged to a duel by Stella, a foreign princess and the "Number One" student. In this duel, "the loser must be obedient for life." (Source: Anime News Network)

K

Yashiro Isana has lived a relatively ordinary, simple life. He lives in the technologically advanced Shizume City and attends Ashinaka High School, a notable high school that is located on an island just outside the areas. Yashiro is friendly with everyone. Nothing seems wrong about him, except perhaps his habit of forgetting where his school-issued PDA is. However, nothing normal has been happening since the recent murder of Tatara Totsuka, prominent member of the infamous HOMRA. No one knows who exactly killed him but the man responsible bears an uncanny, identical appearance to Yashiro. Seeking vengeance, the Red Clansmen of HOMRA set out to get Yashiro and kill him. Everyone suspects that Yashiro is the murderer. (Source: Wikipedia)

Date A Live

Thirty years before a strange phenomena called a "spacequake" devastated the center of Eurasia, claiming the lives of at least 150 million people. Since then, smaller spacequakes plague the world on an irregular basis. Shidou Itsuka, a seemingly ordinary high schooler comes across a mysterious girl at the ground zero of a spacequake and learns from his sister Kotori she is one of the "Spirits" who are the real cause of the spacequakes that occur when they manifest themselves in the world. He also learns that Kotori is the captain of the airship Ratatoskr and recruits him to make use of his mysterious ability to seal the Spirits' powers and stop them from being a threat to mankind. However, there is a catch: to seal a Spirit, he must make her fall in love with him. (Source: Anime News Network)

A Certain Scientific Railgun

Academy City is a highly developed place in terms of technology. It is said to be 20 to 30 years ahead of the rest of the world, and 80% of its 2.3 million residents are students. The focus of studies here is directed towards esper powers. Misaka Mikoto, one of the top level espers in town, shares a room with Kuroko Shirai, another high level esper who is a member of Judgement, a law enforcing agency composed of students. Both attend Tokiwadai, a private school reserved for the high-leveled and the rich. Kuroko's partner at Judgement, Kazari Uiharu, is a low level esper who studies at Sakugawa middle school. Her best friend and classmate there is Ruiko Saten, a level zero, one who has no esper powers. Together, the four encounter several adventures in the exciting scientific town. (Source: Anime News Network)

High School DxD

Issei Hyodo is your average perverted high school student whose one wish in life is to have his own harem, but he's got to be one of the unluckiest guys around. He goes on his first date with a girl only to get brutally attacked and killed when it turns out the girl is really a vicious fallen angel. To top it all off, he's later reincarnated as a devil by his gorgeous senpai who tells him that she is also a devil and now his master! One thing's for sure, his peaceful days are over. In a battle between devils and angels, who will win? (Source: FUNimation)

TRINITY SEVEN

Pride, Envy, Wrath, Sloth, Greed, Gluttony, Lust. These are the seven sins laid upon seven girls who rule over Biblia Academy. To retake his world, the boy decides he must control these sins... The boy, Arata Kasuga, has had the world he knows hit by a mysterious phenomenon "Collapse Phenomenon", and his cousin Hijiri disappears into another dimension. To understand the Collapse Phenomenon and win back his cousin, he comes to Biblia Academy. There he finds the seven girls and their sins. (Source: Crunchyroll)

Accel World

The year is 2046. Haruyuki Arita is a young boy who finds himself on the lowest social rungs of his school. Ashamed of his miserable life, Haruyuki can only cope by indulging in virtual games. But that all changes when Kuroyukihime, the most popular girl in school, introduces him to a mysterious program called Brain Burst and a virtual reality called the Accel World. (Source: VIZ Media)

Beyond the Boundary

They should never have met. They shouldn't even exist. But when they come together, the entire world will change. The last surviving member of her clan, Mirai Kuriyama is cursed with the terrifying ability to control and manipulate blood, a power so heretical that she is shunned even by those with the ability to understand her "gift". Akihito Kanbara is only half human, but while the monstrous other half of his lineage seems to have doomed him to a life alone, it has also given him near invulnerability in the form of rapid healing. Alone, their futures seem bleak, but when a chance encounter brings them together, it becomes clear that they share more than just an unexpected bond. Together they share a destiny and a mission that only the two of them together may be strong enough to survive. (Source: Sentai Filmworks)

Tokyo Ravens

Harutora was born into a family of onmyouji known for their mastery of the occult. Unfortunately, he didn’t inherit their magical abilities, so he was doomed to live a normal life. At least, that is, until a girl from his past changes his future! (Source: Funimation)

Nobunaga the Fool

The Western Planet and the Eastern Planet. Once upon a time, the two sides were bound by the "Dragon Pulse" spanning the heavens. The civilization that once had prospered has now turned to a tale of dreams, as the inextinguishable flames of war tear the realm asunder. The two planets remain engulfed in endless battles. The return of the super technology known as "sacred treasures" could revolutionize the world order, but no one knows of them but one person — a "heretical girl." A girl from the Western Panet, Jeanne Kaguya d'Arc, saw heavenly visions of the birth of a "Star Messiah" who will save the world. She embarks on a journey to the Eastern Planet with Leonardo da Vinci, "the one who observes the world." They come across the heretic of the Eastern Planet and "the greatest fool of the day," Oda Nobunaga. (Source: Anime News Network)

Heavy Object

In the distant future, the nature of war has changed. "Objects"—massive, spherical tanks impermeable to standard weaponry and armed with destructive firepower—rule the battlefield; their very deployment ensures victory, rendering traditional armies useless. However, this new method of warfare is about to be turned on its head.</br> Qwenthur Barbotage, a student studying Object Design, and Havia Winchell, a radar analyst of noble birth, serve in the Legitimate Kingdom's 37th Mobile Maintenance Battalion, tasked with supporting the Baby Magnum, one of the nation's Objects. Unfortunately, a battle gone awry places the duo in a precarious situation: mere infantry stand face-to-face against the unfathomable might of an enemy Object. As they scramble to save themselves and their fellow soldiers, a glimmer of hope shines through, and the world's perception of Objects is changed forever.</br> Heavy Object follows these two soldiers alongside Milinda Brantini, the Baby Magnum's pilot, and their commanding officer Frolaytia Capistrano as the unit treks all over the globe to fight battle after battle. Facing one impossible situation after another, they must summon all their wit and courage to overcome the insurmountable foes that are Objects.</br>

Campione!

Some people suddenly find religion, but for 16-year-old Kusanagi GoDo, it's that REALLY old time religion that's found him! As the result of defeating the God of War in mortal combat, GoDo's stuck with the unwanted position of Campione!, or God Slayer, whose duty is to fight Herectical Gods whenever they try to muscle in on the local turf. Not only is this likely to make GoDo roadkill on the Highway to Heaven, it's also a job that comes with a lot of other problems. Like how to deal with the fact that his "enhanced status" is attracting a bevy of overly-worshippy female followers. After all, they're just there to aid him in his demi-godly duties, right? So why is it that their leader, the demonically manipulative sword-mistress Erica Brandelli, seems to have such a devilish interest in encouraging some VERY unorthodox activities? (Source: Sentai Filmworks)

The Third: The Girl with the Blue Eye

In the distant future, because of an interplanetary war that had continued on for centuries, civilizations were ruined. Human beings have lost everything, and only 1/5th of the population survived. A strange breed of humans, ''The Third'' is said to have appeared just after the war. They possess a third eye, as their name suggests, that appear as oval-shaped red pupils called "space eyes'' over their conventional two eyes. Using them, they can control computer systems and so on, and as such, rule the world by their superior power over technology. In this world, there is a young woman named Honoka; she is a "jack-of-all-trades" sellsword, and she accepts any job except murder. One day, she happens to find and rescue a young man named Ikus in the desert. Entering his world, and accepting a job from him, the adventure begins for Honoka and Ikus. (Source: BestAnime, modified)

The Asterisk War

Invertia (meteor storm)… an unprecedented disaster that struck the world during the 20th century. Because of this disaster, numerous cities around the world were destroyed. However, within the meteor, an unknown element called mana (the all-encompassing element), was discovered, which allowed human technology to make rapid strides. This also gave rise to a new species of human born with unique skills – the Star Pulse Generation (Genestella). The setting for the world’s greatest comprehensive battle spectacle, the Festas (Star Warrior Festivals), is an academy city above the water surrounded by six academies called Rikka also commonly known as Asterisk. Having transferred into Seidoukan Academy in order to fulfill his own wish, scholarship student Ayato Amagiri swears he too will fight in this city. Burning souls race… The curtain rises on this school battle spectacle! (Source: Crunchyroll)

Baka and Test - Summon the Beasts

The story centers around Akihisa Yoshii, the "baka" of the title. His academy rigidly divides up the student body into classes based on the results of tests. The prodigies are in the A class with reclining seats complete with air conditioning, but Akihisa is in F class, the lowest rung of the school ladder which is furnished only with low, decrepit tables and worn-out straw tatami mats. A girl named Mizuki Himeji is actually one of the smartest girls in Akihisa's sophomore year, but she had a fever on test day and was pigeonholed into the F class. Besides Mizuki (who Akihisa secretly adores), the F class also has Yuuji Sakamoto, the class president who has been Akihisa's friend and partner-in-crime since the freshman year. The school happens to have developed experiments to summon fantasy creatures, and Akihisa decides to rally F class to take on the higher-tiered classes and seize their perks. The F class uses the summoned creatures in an all-out battle for school supremacy.