Pirates of the Caribbean: Dead Man's Chest (2006) Pirates of the Caribbean: At World's End (2007) Pirates of the Caribbean: On Stranger Tides (2011) Pirates of the Caribbean: Dead Men Tell No Tales (2017)
However, I found a Tamil movie titled "Captain Jack" (2015) which seems to be inspired by the Jack Sparrow character. Here's a guide: jack sparrow tamil movie
Bhavani attempts to commit suicide due to the trauma, but Raghu saves her. He then decides to take a bold step to save her dignity and life. He "kidnaps" her (with her consent) to protect her from her abusive husband and societal judgment. The second half of the movie deals with how Raghu fights for justice against the oppressive legal system and the abusive husband to prove that their love is pure and that Bhavani deserves a life of respect. Pirates of the Caribbean: Dead Man's Chest (2006)