So... is Devil May Cry 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)
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
Dante, a demon hunter who runs a business called "Devil May Cry," reluctantly agrees to protect a young orphan named Patty Lowell.
Patty is believed to be the heir to a wealthy family, and Dante's tasked with delivering her safely to them.
However, what starts as a simple babysitting job quickly turns dangerous as demons begin to target Patty, revealing a deeper mystery surrounding her lineage and the forces pursuing her.
Dante must use his demon-hunting skills to protect Patty while uncovering the truth behind why she's being hunted.