So... is Aishiteruze Baby★★ finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: October 09, 2004
Manga finished: December 01, 2004
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
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Synopsis
Aishiteruze Baby★★ follows Kippei, a carefree high school student known for his womanizing ways.
His life is turned upside down when his aunt unexpectedly leaves, leaving behind her young daughter, Yuzuyu.
Kippei is suddenly burdened with the responsibility of caring for Yuzuyu, a five-year-old girl dealing with the pain of her mother's abandonment.
The anime explores the challenges Kippei faces as he learns to navigate childcare while Yuzuyu struggles to cope with her emotional trauma.
It's a story about growth and unexpected family bonds as Kippei and Yuzuyu try to create a new normal together.