"Final Approach" is a 13-episode anime series that blends elements of romantic comedy and science fiction. The story centers on Ryo Mizuhara, a high school student whose life takes an unexpected turn when he is informed by the government that he must marry a girl named Shizuka Sagan as part of a national population recovery program. The program, known as the "Child Plan," is designed to combat Japan's declining birthrate by pairing individuals together to produce offspring. Ryo, initially resistant to the idea, has no choice but to comply due to the legal and financial incentives tied to the program.

Shizuka, a shy and reserved girl, moves into Ryo's home to begin their arranged relationship. Her presence disrupts Ryo's daily life, as she struggles to adapt to her new environment and responsibilities. Despite her initial awkwardness, Shizuka gradually opens up, revealing a kind-hearted and determined personality. The series explores their evolving relationship, from initial reluctance to a growing bond, as they navigate the challenges of their unusual situation.

Supporting characters include Akane Mizuhara, Ryo's younger sister, who is initially skeptical of Shizuka but eventually warms up to her. Akane provides comic relief and often mediates between Ryo and Shizuka. Another key figure is Eimi Morisaki, a childhood friend of Ryo who harbors feelings for him. Eimi's presence introduces a love triangle, adding tension and emotional complexity to the narrative.

The series balances lighthearted moments with more serious themes, such as societal pressures, personal autonomy, and the complexities of relationships. While the premise is rooted in a futuristic and somewhat absurd scenario, the focus remains on the characters' emotional journeys and their efforts to find common ground. The episodic structure allows for both comedic and heartfelt interactions, culminating in a resolution that ties together the central themes of love, responsibility, and personal growth.