Hi Score Girl

Hi Score Girl (ハイスコアガール), also written as High Score Girl, is a manga and anime series by Oshikiri Rensuke. It is a romantic comedy that features several games, specially fighting games.

Mega Man
In the manga, Air Man appeared in chapter 35, and Mega Man: The Power Battle is mentioned in the RPG Maker game Haruo made for Akira on chapter 38.

Air Man is absent in the anime adaptation, but the Mega Man: The Power Battle mention was kept, and its title screen appeared in one of the arcades from episode 20.

The Japanese version of Rockman X DiVE had a collaboration manga by Oshikiri Rensuke featuring RiCO seeing a Deep Log memory of Akira playing Rockman X for the first time in Haruo's house.

Hi Score Girl also had some merchandise with the main characters in the style of the NES Mega Man graphics.