So... is Mouse finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: March 24, 2003
Manga finished: August 27, 2004
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
Mouse tells the story of Sorata Muon, a mild-mannered teacher who lives a double life.
By night, he's the master thief Mouse, known for his elaborate heists and always giving the police a heads-up before striking.
He's aided by three enthusiastic female assistants, who are also his fellow teachers.
Beyond his heists and the constant pursuit by the authorities, Mouse finds himself targeted by a mysterious organization and an old acquaintance, all while navigating his relationships with his adoring assistants.
The series unfolds in short, action-packed episodes filled with art heists, comedic mishaps, and plenty of romantic tension.