So... is Hoshi no Oujisama Petit Prince finished or not?
NO, it is not finished.
Why?
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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Hoshi no Oujisama Petit Prince
The Adventures of the Little Prince
Anime - Base
Release date: July 04, 1978
Hoshi no Oujisama Petit☆Prince Specials
The Adventures of the Little Prince
Anime - Sequel
Release date: December 22, 2006
Synopsis
Hoshi no Oujisama Petit Prince follows the Little Prince's life on his small asteroid, B612, where he diligently maintains his home by tending to volcanoes, preventing baobab trees from overgrowing, and caring for his beloved Rose Girl.
Feeling isolated on his tiny planet, the Little Prince embarks on journeys to Earth, using a comet as his mode of transportation, seeking companionship and new experiences.
The anime chronicles his adventures as he explores Earth and encounters various situations and people, allowing him to learn about the world beyond his asteroid.