Not really. P3P allows you to play as a girl (and go out with the male characters), and also allows you to take control over your party members. However, it discards the 3d overworld in favor of a 2d map, which is a bit disappointing. P3FES gives you access to The Answer, which is several hours more of gameplay (you can play as Aigis).
But what I love about the game (and its sequel, Persona 4) is the sense of style and fashion. All the characters have really cool clothes, and all the UI elements are really slick as well. Also, the dating sim aspects are PRETTY INTERESTING. Though its more interesting in Persona 4, because hanging out with your teammates DIRECTLY improves their utility in battle. Which is nice.
Also the Evoker pistols are fucking sweet.