So... is 07-Ghost finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: September 22, 2009
Manga finished: August 28, 2013
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.
The mangas and the non-core contents are excluded by default, but you can enable them by clicking the buttons below:
Synopsis
In the Barsburg Empire, where soldiers wield a special ability called Zaiphon, Teito Klein, a student with amnesia, struggles to fit in at the elite Military Academy. He forms a strong bond with his friend Mikage, but his life is turned upside down when he uncovers a dark secret about his past and the death of his father.
After a failed assassination attempt against a powerful official named Ayanami, Teito is branded a criminal and forced to flee. He seeks refuge in the 7th District Church, finding sanctuary with the bishops who reside there.
Now, Teito must evade Ayanami and the Empire's forces while trying to piece together his lost memories and understand his destiny. He believes he holds the key to changing the world's fate, but uncovering the truth will be a dangerous journey.