So... is Sakura Tsuushin finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: October 22, 1997
Manga finished: August 08, 2015
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
Sakura Tsuushin follows Touma, a prospective Keio University student, whose life is thrown into romantic chaos with the arrival of his cousin, Urara.
Urara's affection for Touma complicates matters as he also becomes infatuated with Meiko, a fellow applicant who successfully enters Keio.
After failing the exam due to circumstances involving Urara, Touma attempts to impress Meiko by falsely claiming he passed.
The series explores the comedic and dramatic entanglements of this love triangle, focusing on Touma's struggle to maintain his charade while navigating his feelings for both Urara and Meiko.