When Isaku Senagaki was five years old, the death of her parents left her to be raised by her yakuza boss grandfather, Tasuke. Now preparing to enter high school, Isaku is determined to start fresh with an honest attempt at having a normal high school experience. All she wants is to be able to make friends and find love without being defined by her connection to the yakuza. But Isaku's dreams are thwarted when her overprotective caretaker, 26-year-old Keiya Utou, takes it upon himself to enroll in Isaku's school by bribing the school administration. While Isaku yearns for a reciprocated love, she is trapped in a one-sided infatuation with Keiya, who only sees her as the boss's granddaughter he helped raise. Her longing for a normal life becomes a constant battle, and breaking free from her heart's grip is far more challenging than it sounds, as Keiya's overprotectiveness and disregard for her boundaries make it almost impossible to move on.

Spirits have always been attracted to Keitarou Gentouga due to his strong spiritual presence. A traumatic encounter with one had caused his right hand to be cursed, forcing him to wear a glove at all times. Now a college freshman, Keitarou is trying to live as normal a life as possible. With the encouragement of his childhood friend Eiko Houzuki, he becomes a private tutor. Since he is at the top of his intake class, his first client is the tutoring firm's most promising student, Yayoi Houzuki. To Keitarou's surprise, Yayoi is Eiko's cousin, and she possesses two pupils in each eye—allowing her to see into the spirit world and purposely seek vengeful spirits to exorcise. Ever since a car accident killed both her parents, Yayoi has been searching for the powerful spirit that kidnapped her mother's departed soul. Seeing that spirits are so attracted to Keitarou, she ropes him into helping her collect other evil spirits that will assist in her future fight. Although her quest is dangerous, Keitarou reluctantly decides to join her, even as each new spirit they meet has him questioning his resolve at every turn.

Upon first seeing Earth from the Azatos Empire's survey ship, Chief Investigator Liza Luna plans to eradicate every lifeform on it immediately, leaving behind only useful resources. While surveying the planet, Liza discovers that human civilization has evolved at a pathetic rate compared to other lifeforms. Liza makes her way to the surface of the planet to properly inspect and understand its inhabitants. Still convinced that there is nothing beneficial to be found, the investigator makes her way into a cafe to gauge the planet's food culture. Liza walks into a cat cafe, where she meets creatures far cuter than anything else in the galaxy. Motivated by this new discovery, Liza decides to investigate Earth's numerous adorable inhabitants.

High schooler Ganta Nakami has trouble falling asleep most nights. As a result, he is irritable at school, always searching for an opportunity to find a secluded place to doze off. On the other hand, Isaki Magari is a free spirit who is well liked by her friends, but no one is aware of her sleep disorder. She makes use of the school's abandoned astronomy club observatory as her secret sleeping bunker when she needs to get some shut-eye. As fate would have it, Nakami finds Magari napping in the observatory. When Magari discovers that she and Nakami have something in common, she offers to share her secret sleeping spot with her fellow insomniac. As the two find warmth in each other's company, the struggles they face start to become easier to confront.