So... is Denpa-teki na Kanojo finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: December 04, 2009
Manga finished: December 19, 2020
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
Juu Juuzawa, a delinquent who prefers solitude, finds his life turned upside down when Ame Ochibana claims a past-life connection and desires to be his servant.
Initially dismissive of Ame's eccentric claims, Juu suspects her involvement in a classmate's murder.
Despite his initial distrust, Juu begrudgingly works with Ame to solve the crime, discovering her unexpected intelligence and abilities.
As they investigate, Juu and Ame's unlikely partnership unfolds, hinting at a complex relationship built on mystery and shared purpose amidst the backdrop of love, loss, and unwavering devotion.