So... is Cross Game finished or not?
YES, it is finished.
Why?
The anime finished after the manga:
Anime finished: March 28, 2010
Manga finished: February 17, 2010
MangaUpdates contains information about the anime adaptation and indicates that it is complete.
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
Cross Game centers around Kou Kitamura and Aoba Tsukishima, two individuals seemingly opposite in every way.
Kou, despite growing up around a sports shop, shows little interest in baseball, although he possesses a natural talent for batting.
Aoba, on the other hand, is a dedicated and skilled baseball player.
Their lives are intertwined through their families' close relationship and their shared affection for Wakaba, Aoba's older sister.
Wakaba becomes a focal point for Kou and Aoba's rivalry, even though they may have more in common than they realize.
The story explores how baseball might become the catalyst for them to confront their personal challenges and possibly find common ground.