 If you liked
Banana Fish
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 ...then you might like
Pet
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So both of these anime are gonna be aimed towards the female audience more than men. It is very focused on relationships between men that transcend romance and fall under a partnership/soulmates title and are about our main characters trying to escape an evil organization. Both shows are very serious and a bit trippy but overall, the story will come together in the end and make sense. They both have action, mystery and drama involved.
Banana Fish and Pet both include a drug or ability that is used to control or get rid of people by its antagonists, the influence of a Chinese gang/mafia, and an implied romantic subplot between its two main characters.
The protagonists of both shows are involved in criminal organizations. The main characters of both shows are close. The overall feeling of the two shows is similar. The character dynamic in both is also similar. Both are handling an issue where something/someone messes with people's minds.