Freezing

Set in a slightly futuristic world where Earth has been invaded and is at war with aliens from another dimension called the Nova, the story follows the adventures of a Japanese boy named Kazuya Aoi who enrolls for training at a special school for genetically modified girls called Pandoras who battle the aliens, and their male partners, called Limiters, who use a special power called "freezing" to limit their opponent's mobility. The protagonist makes the acquaintance of an unusual older girl named Satellizer el Bridget who appears to be the most powerful Pandora in her class, but has not yet chosen a male partner to be her Limiter, and in spite of the warnings of all his friends, he decides to be her Limiter. (Source: Wikipedia)

A Good Librarian Like a Good Shepherd

The story is set at Shiomi Academy, a vast, prestigious academy with a Daitoshokan (literally, "great library") that rivals Japan's national library. As a member of the Library Club, Kyoutarou Kakei goes to Daitoshokan to enjoy reading by himself. He then meets a second-year girl named Tsugumi Shirasaki through the efforts of a so-called "shepherd" who fulfills people's wishes. Eventually, more girls join the club thanks to the "shepherd." (Source: Anime News Network)

AOKANA: Four Rhythm Across the Blue

The story is set on an archipelago of four islands far south of Japan or even the South Seas. It is all but a different world from modern Japan. From the discovery of anti-gravitons came the dream invention of anti-graviton shoes that let people fly the skies. They introduce people to a new realm by enabling flight with just one's own body strength, without feathers or engines. This led to the rise of the sport of "Flying Circus". The protagonist who once hoped for a future in this sport suffered a setback due to an overwhelming defeat, and withdrew from the sport for this and some other reason. However, he met the transfer student Asuka Kurashina, and in teaching her to fly the skies, the old passion returned. He takes part in the Flying Circus again. (Source: Anime News Network)

ORESUKI: Are you the only one who loves me?

Amatsuyu "Joro" Kisaragi finds himself in a rather delightful situation, two lovely girls asked him out on a date in the same week. Little does he know he's not the actual target of their love, instead, he ends up as a love consultant forced to juggle a web of relationships more complex than initially thought.