So... is Bartender: Kami no Glass finished or not?
NO, it is not finished.
Why?
The anime finished after the manga:
Anime finished: June 20, 2024
Manga finished: December 21, 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.
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Synopsis
A prestigious hotel seeks a bartender capable of creating the legendary "Glass of God," a drink that embodies perfection. Miwa, tasked with finding this elusive talent, struggles to meet the chairman's demanding criteria.
Meanwhile, hidden in Ginza's backstreets, Ryuu Sasakura, a gifted bartender at Eden Hall, possesses an uncanny ability to craft the perfect drink for each customer, offering them comfort and understanding.
Fate brings the hotel chairman and Ryuu together. Impressed by Ryuu's skills, the chairman becomes determined to recruit him, setting off a gentle yet persistent campaign to lure the humble bartender away from his beloved Eden Hall. The story explores the challenge of convincing Ryuu to leave his current life and the importance of human connection found in the art of bartending.