So... is Hatsukoi Limited. finished or not?
YES, it is finished.
Why?
The anime finished after the manga:
Anime finished: June 28, 2009
Manga finished: May 26, 2008
MangaUpdates contains information about the anime adaptation and indicates that it is complete.
Watching Order (by release date)
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Synopsis
Hatsukoi Limited. follows Ayumi, a girl yearning for a confession of love, believing it's the key to happiness. Her wish unexpectedly comes true, but the confessor is someone she finds intimidating.
This leads to a series of complicated feelings when she finds herself attracted to the younger brother of her admirer.
The anime explores Ayumi's dilemma as she grapples with her initial ideal of love versus her burgeoning feelings, all while navigating the challenges of first love common to many teenagers.
The story also touches upon the romantic experiences of Ayumi's friends, highlighting the complexities and awkwardness that arise during their own journeys through first love.