So... is Jinrui wa Suitai Shimashita finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: September 17, 2012
Manga finished: June 18, 2014
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
In a future where humanity has dwindled and the world is now largely populated by mischievous, candy-loving fairies, a young woman returns to her hometown.
Having been appointed as a UN mediator, her job is to bridge the gap between the remaining humans and the fairies.
She hopes to foster peaceful coexistence, but soon discovers that the fairies' obliviousness and advanced technology frequently lead to chaos.
Her days are filled with attempting to manage the unintended consequences of the fairies' actions and maintain a semblance of order in this strange new world, proving to be much more challenging than she anticipated.