A gate appears in Tokyo's Ginza district sometime in the 21st century. From the gate pours out monsters, knights from middle-age Europe, and other fantasy-like beings, and they kill many of the citizens of Tokyo. This event is known as the Ginza Incident. The government sends a small group of soldiers from the Japanese Self-Defense Forces to the alternate world beyond the gate. Led by otaku soldier Yōji, they find that the villages in the world are being attacked by a dragon. An elf girl who is a survivor from the dragon's rampage joins the group in their travels across the dangerous new world.
Miss Kobayashi is your average office worker who lives a boring life, alone in her small apartment–until she saves the life of a female dragon in distress. The dragon, named Tohru, has the ability to magically transform into an adorable human girl (albeit with horns and a long tail), who will do anything to pay off her debt of gratitude, whether Miss Kobayashi likes it or not.
One day, an otaku high school student Tomoya Aki has a fateful encounter with a girl. This meeting inspires Tomoya to design his very own “gal-game” featuring a heroine modeled after the girl he saw. In order to make his desire a reality, Tomoya must persuade a few eccentric “creators” such as the ace member of the art club, Eriri Spencer Sawamura and the school’s top student, Utaha Kasumigaoka to join his development team. Meanwhile, Tomoya is shocked to learn that the girl he idolized as his muse for this whole project was none other than his boring classmate, Megumi Kato!
Kagami Junichirou was known as a physics genius when he was a teenager, and he was even published in "Nature." However, after college, he suddenly lost all interest in science. As a NEET, he's devoted himself to his anime blog and nerdy collecting habits. He claims he has a serious illness called "I can't do anything I don't want to do." Desperate to get him to do something with his life, his little sister manages to get him a job teaching physics at his old high school. He's certainly an unconventional teacher, but he becomes fairly popular with the students. After helping a girl who's being ruthlessly bullied, Kagami finds that he actually likes teaching. Will he continue his career as a weird teacher? Will he go back into physics? Or will he end up back where he started?