So... is NHK ni Youkoso! finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: December 18, 2006
Manga finished: April 26, 2007
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
NHK ni Youkoso! centers on Tatsuhiro Satou, a young man who's been a recluse for years.
He believes a shadowy organization, the NHK, is responsible for his isolated lifestyle.
The story follows his attempts to break free from his self-imposed isolation and this supposed conspiracy.
His journey is complicated by his struggles to overcome his fears and rejoin society.
An encounter with a mysterious girl named Misaki may offer him a chance to change, but it also forces him to confront the very thing he's been avoiding.