In the Kidou Senshi Gundam 00 (SHIGUMA Tarou) series: 1) Aoi Kikou 2) Aoi Kizuna
In the kingdom of Diezerick, there is a legend about a knight who defended the whole country and its king from an evil witch. Many years later, a novice knight, Alec, joins the Royal Palace Knights and meets the legendary knight but he's far from what she expected...
From Wikipedia: Enno Ozuno, Master of the Enno temple used the demon guardian spirit Zenki to defeat the demon goddess Karuma. After defeating Karuma, he later sealed Zenki away in a pillar until needed again. Centuries later, his descendant, a school girl named Chiaki Enno (役 小明, Enno Chiaki, or Cherry Night in some dubs) is able to free Zenki, although the demon currently has the form of a brattish demon child. To transform this extremely defiant demon into the form that made him useful by her ancestor, she uses a bracelet that appeared on her wrist when servants of Karuma broke the seal that imprisoned a seed of Karuma. Zenki appears because the seeds of Karuma (which look like eyeballs) start appearing and turning people into monsters and Zenki needed again to eradicate this menace.
From MangaHelpers: In this world, there are those who look like humans but are actually beings with supernatural power. In order to respond to crimes committed by these kinds of people, an organization that employs some of their number has been established. Kurohimeyama Eve is a member of this organization, and she is also a teenage girl that has "Oni" powers. One day, she goes to meet a new member, Ichizuka Senya, who is a boy with dangerous shadow powers and a bad personality. In front of the other girls in the organization, though, he seems to act perfectly nice. What's even worse, he's transferred into her private religious school! Kurohimeyama's once-peaceful life will never be the same! [tethysdust]
Based on the Shin Megami Tensei If videogame. The setting is Karukozaka High School, which is mysteriously sucked into a void and emerges in the realm of Makai, a world of demons. Most of its students and school employees are trapped in the other world along with it.
Hida Kizuna possesses the HHG (Heart Hybrid Gear) ability, but it is not strong enough to make him particularly important. His older sister calls him to transfer to a strategic defense school, where many of the students (many of which are large-breasted girls) use their HHG abilities to fight invaders from another world while wearing extremely skimpy pilot outfits. Kizuna's fighting ability doesn't measure up, but his sister has another plan-- apparently having erotic experiences with Kizuna will allow the girls to replenish their energy or power-up. It looks like his new school life is going to be full of embarrassment.
The Indigo League: the ultimate challenge for Pokémon trainers. Structured like a massive tournament, anyone eager to show off their Pokémon can participate, from rookies to gym leaders to even the Elite Four themselves. This is the story of Red, Blue, and Green, three friends who decide to partake in the tournament. Author's Pixiv: https://www.pixiv.net/member.php?id=411252 Author's Twitter: @seijyun09 Author's Booth: https://seijun.booth.pm/
Set in the near future in Japan, year 2035. A major incident was known as "Burst" which was caused by researching artificial life. A certain AI called "Matter" has eroded the Kurobe Gorge. Entering the research city, which has been called as humanity’s last hope, has been prohibited by the government. Two years later, Aiko Tachibana, a 15-year-old girl who lost her family from the incident, was told by a transfer student, Yuuya Kanzaki, the truth that Aiko didn’t know regarding a secret hidden within her body. The key to solve the mystery is said to be in the Primary Point, the center of Burst. When a boy and a girl, who bears the future of humanity, meet, what will be the new truth?
As a talented agent, she failed to make a successful time-travel during her first task in which she dropped onto the bed of a tyrant and broke his sex. Knocked out, she regarded the man as a man-whore and paid him for their sex. Obviously she went too far. However, tyrants are for torturing, money for spending, kungfu for teasing and beauty for seduction.
Honey Kisaragi is a normal catholic schoolgirl. That is, until her father was murdered by the Panther Claws who were seeking the Airbourne Elemental Fixation Device. She then finds out that she is actually an android created by him with the Airbourne Elemental Fixation Device within her. She is now trying to live a life as a normal schoolgirl and seeking revenge against Panther Claw.
Nishino Gokyou, the dull faced highschooler in the middle of the school caste, and the one with the greatest abilities in the neighborhood. While caring about his appearance, he spends everyday burying himself in his work that makes use of his ability. He has deemed this life of solitude as acceptable. However, those days would not last. The fall of his second year, the virgin recognized the preciousness of youth through the culture festival. He learned of the importance of friendship with the opposite sex. With this, that boy Nishino decides to turn over a new leaf from the simple life he had, along with revising his attitude towards his every day life, and in order to make a wonderful girlfriend to enjoy his high school time, he uses every means in his disposal to struggle up the school caste, but the chance of climbing doesn’t look great, this is, what do you call it, a hard-boiled story (Along with super-powered battles)
From MangaHelpers: The Katjvarna Empire and the Kioka Republic are at war, and Katjvarna is currently defending their border against Kioka's attacks. Yatorishino is from an influential family in the empire, and she's taking the high ranking officer exams. To make sure she passes at the top, she's convinced lazy, anti-war, girl-crazy Ikuta to take the exams as well and help her, in exchange for a favor from her family. The first, written test goes as planned, and then they head off on a boat for the next. Unfortunately, the boat sinks, and Yatorishino, Ikuta, some other examinees, and a mysterious, important little girl are stranded behind enemy lines! [tethysdust]