So... is Giji Harem finished or not?
YES, it is finished.
Why?
The anime finished after the manga:
Anime finished: September 20, 2024
Manga finished: March 12, 2021
MangaUpdates contains information about the anime adaptation and indicates that it is complete.
Watching Order (by release date)
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Synopsis
Eiji, a high school student, dreams of having a harem. Luckily for him, Rin, a talented actress in the drama club, is willing to help him make his dream a reality, albeit in a simulated way.
Rin uses her acting skills to portray various personalities, effectively creating Eiji's "fake harem."
As they spend time together in the drama club, Rin's feelings for Eiji grow, and she subtly tries to win him over through her acting and by showcasing different sides of herself.
The anime focuses on their interactions and the comedy that arises from Rin's ever-changing personas and Eiji's reactions to them, exploring themes of friendship, acting, and the complexities of developing feelings.