So... is Double-J finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: September 14, 2011
Manga finished: October 26, 2011
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
Hajime and Sayo, two students in a school that emphasizes after-school activities, stumble upon a mysterious club called "The Cultural Activity Preservation Club."
Intrigued, they decide to investigate and find themselves surrounded by traditional, analog crafts and activities.
The anime follows their experiences within the club, promising a blend of unique cultural exploration and comedic moments.