So... is Murder Mystery of the Dead finished or not?
NO, it is not finished.
Why?
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
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Synopsis
In a post-apocalyptic world overrun by zombies, Mikoto Amano awakens with amnesia and finds refuge with six other girls in the Tokyu Kabukicho Tower.
Their fragile sanctuary is shattered when a man they rescued is murdered, trapping them in the sealed-off tower.
Suspicion arises as they realize the killer is among them, and any of them could be the next victim.
The story follows Mikoto and the other girls as they attempt to uncover the truth behind the murder and navigate the secrets hidden within the tower, all while trying to maintain their bonds of friendship.