"Penguin no Mondai" is a comedic anime series adapted from the manga by Tetsuya Chiba. The narrative centers around a young boy named Shōta Koiso, whose life takes an unexpected turn when his father, a scientist, brings home a peculiar penguin-like creature named Penguin. This creature, initially mistaken for a penguin, is revealed to be an alien from the planet Penguin. The alien, named Penguin, possesses advanced intelligence and technology, which often leads to chaotic and humorous situations.

Shōta and his family, including his mother and younger sister, must navigate the bizarre antics of Penguin, who frequently causes trouble with his inventions and schemes. Despite his mischievous nature, Penguin often helps the family in unexpected ways, creating a dynamic blend of comedy and lighthearted adventure. The series explores themes of family, friendship, and the absurdity of everyday life, as the Koiso family deals with the consequences of living with an alien.

The main characters include Shōta, a typical schoolboy who often finds himself caught up in Penguin's antics; his father, a scientist who is both fascinated and exasperated by Penguin; his mother, who tries to maintain order in the household; and his younger sister, who often interacts with Penguin in playful ways. Penguin himself is a central figure, characterized by his eccentric behavior, advanced technology, and occasional moments of wisdom.

The episodic structure of the series allows for a variety of comedic scenarios, ranging from Penguin's attempts to understand human culture to his interactions with other aliens and humans. Each episode typically features a self-contained story, contributing to the overall lighthearted and whimsical tone of the series. The humor is often derived from the contrast between Penguin's alien perspective and the mundane aspects of human life, creating a unique blend of science fiction and comedy.