So... is Go-Q-Choji Ikkiman finished or not?
NO, it is not finished.
Why?
The anime finished after the manga:
Anime finished: November 23, 1986
Manga finished: August 06, 1986
... 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
Ikkiman, an unknowingly super-powered alien raised on a farm, sets out on a journey to become a superstar.
His motivation? To win back his girlfriend who left him for fame.
He stumbles upon a Battle-ball team, the "Blue Planets," and decides to join them, discovering his hidden abilities in the process.
Now, Ikkiman and the Blue Planets must face off against alien rivals, battling for the championship and the fate of Earth.