So... is Sora no Manimani finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: September 22, 2009
Manga finished: July 25, 2011
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
Saku Ooyagi comes back to his old hometown after a long absence. He's immediately confronted by Mihoshi Akeno, his childhood friend.
Their reunion is a bit awkward due to a past incident involving a tree and a rescue.
Mihoshi, eager to reconnect, strongly encourages Saku to join the astronomy club she started.
The anime follows Saku as he navigates his re-entry into his hometown and his interactions with Mihoshi and the astronomy club.