So... is Hoshizora e Kakaru Hashi finished or not?
NO, it is not finished.
Why?
The anime finished after the manga:
Anime finished: December 21, 2011
Manga finished: December 01, 2011
... 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.
The mangas and the non-core contents are excluded by default, but you can enable them by clicking the buttons below:
Hoshizora e Kakaru Hashi
A Bridge to the Starry Skies
Anime - Base
Release date: April 11, 2011
Hoshizora e Kakaru Hashi: Kakaru ka? Gakuensai ni Koi no Hashi
星空へ架かる橋 架かるか？学園祭に恋の橋
Anime - Sequel
Release date: December 21, 2011
Synopsis
Kazuma and his younger brother Ayumu move from the city to a rural inn due to Ayumu's health. Their journey starts with a series of comical mishaps, including a chance encounter with a girl named Ui that results in an accidental kiss.
Adjusting to country life, Kazuma enrolls in a new school and discovers that Ui and her friend Ibuki are his classmates. He also has to deal with the inn's eccentric landlady, Senka.
The anime focuses on Kazuma's experiences navigating his new environment, building relationships with the people around him, supporting his brother, and trying to understand a strange sense of familiarity he feels with the place and its inhabitants, hinting at a forgotten past.