 If you liked
Persona 3 the Movie 1: Spring of Birth
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 ...then you might like
Persona 5 the Animation: The Day Breakers
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All of the games have separate stories that are centered around a different theme with recurring motifs and some same characters appearing, you can enjoy them in any order you want to. If you just want to watch something to prepare for P5, I'd suggest the P3 movies, they are pretty good and decent for introducing one to the series. Obviously playing the games would be ideal, as the anime can't incorporate everything in a game as big as Persona.