So... is Sprite: Between Two Worlds finished or not?
NO, it is not finished.
Why?
The anime finished after the manga:
Anime finished: August 08, 1997
Manga finished: January 01, 1997
... But MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
Here you have all the anime relations we detected ordered by release date, so you can see the reason for this status in context and also use it as watching order.
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Synopsis
Sprite: Between Two Worlds centers around Manami, a seemingly quiet girl.
However, she's experiencing strange episodes where her personality drastically changes, leading to flirtatious behavior and conflicts.
The mystery lies in whether Manami is truly unaware of these transformations, suggesting a hidden, more aggressive personality is taking control.
The anime explores the conflict between these potentially two sides of Manami and the trouble they create.