The first part of Date A Bullet.
 
Hibiki Higoromo, better known as, Empty, is an amnesiac young girl. She wakes up in the neighboring world, where she encounters Tokisaki Kurumi. In order to kill the mysterious girl, Kurumi leads Empty to a school. When arriving at the school, a number of girls, known as semi-spirits, gather together. Now then, a new battle begins. (Source: Wikipedia)

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)

This is the story of Tokisaki Kurumi that shouldn’t have been told——
 
The amnesiac young girl, Empty, who woke up in the neighboring world encounters Tokisaki Kurumi. Led by her, the place she arrived at was the school's classroom. In order to kill each other, the girls known as semi-Spirits gathered. Now then——Let’s begin our battle (date).

The third season of Date A Live. 
 
Itsuka Shidou's life has been a whirlwind as of late. Or more precisely, a spatial quake. Several of them, in fact. Powerful "Spirits" from other dimensions that take the form of girls are unintentionally causing these spatial quakes in his reality. And Shidou is the only one who can stop them with his unique ability: kissing them! By having the girls kiss and fall deeply in love with him, their devastating quake powers are sealed. The alternative to romancing them is to have a more militant and technological organization called the AST (Anti-Spirit Team) destroy the Spirits, something Shidou is vehemently against.
 
So far in the story, six Spirits have fallen for Shidou (as well as a few others). The girls compete with one another and vie for his affection, leaving him no end of headaches and misadventures. But a new challenger approaches.
 
(Source: Tokyo Otaku Mode)

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