So... is Akame ga Kill! finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: December 15, 2014
Manga finished: January 25, 2019
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
Akame ga Kill! tells the story of Tatsumi, a young villager seeking fortune in the capital, who discovers the corruption and suffering inflicted upon the people by a power-hungry Prime Minister.
Dismayed by the Empire's state, Tatsumi joins Night Raid, a group of assassins fighting to overthrow the corrupt government and spark a revolution.
The anime follows Tatsumi's journey as he learns the harsh realities of being an assassin, confronts powerful enemies, and grapples with difficult moral choices, all while fighting for a better future.