It is a bit ambiguous in this case.
The anime finished after the manga:
Anime finished: December 03, 1993
Manga finished: December 01, 1993
... But we could not confirm the source content in MangaUpdates.
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Hime-chan no Ribbon is a story about a spirited and energetic young girl named Himeko who gets a surprise visit from Erika, a princess from a magical kingdom. Erika needs to find someone who looks just like her on Earth, and that person is Himeko!
To test Himeko's worthiness as a potential successor, Erika gives her a magical ribbon with a unique ability: the power to transform into anyone she sees. Himeko must now use this ribbon to explore the world in new ways and prove its value.
The anime follows Himeko's everyday adventures as she uses her newfound power, navigates the challenges of keeping her secret safe, and experiences the blossoming of first love with a boy named Daichi, who becomes aware of her magical abilities.