So... is Natsuyuki Rendezvous finished or not?
YES, it is finished.
Why?
The anime finished after the manga:
Anime finished: September 14, 2012
Manga finished: December 08, 2011
MangaUpdates contains information about the anime adaptation and indicates that it is complete.
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
Ryousuke is infatuated with Rokka, the owner of a flower shop, and takes a part-time job there hoping to win her over.
However, he discovers that Rokka's apartment is haunted by the ghost of her deceased husband, Atsushi.
Atsushi is possessive and doesn't want Rokka to move on, creating a love triangle of sorts between the living, the dead, and the woman they both care for.
Ryousuke and Atsushi find themselves at odds, each trying to achieve their own desires regarding Rokka's future.
The anime explores the complex relationship between Rokka, Hazuki, and the lingering presence of her deceased husband, focusing on love, loss, and the difficulty of letting go.