So... is Maps finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: February 24, 1995
Manga finished: February 08, 2012
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
A young woman named Lipumira seeks the legendary Mapman, a member of a lost tribe, and discovers him living an ordinary life in Tokyo. He is crucial to unlocking a hidden starmap on Earth.
After finding the first piece, the Mapman, Gen, faces a life-altering choice: join Lipumira on a perilous journey to find the remaining fragments, or remain grounded in his familiar world.
His decision is complicated when his girlfriend unexpectedly joins their adventure. Meanwhile, a dangerous faction opposes Lipumira's quest, creating obstacles and threats along the way.