Persona 4 as you most likely have gathered is an adaptation of one of the best JRPGs out there of the same name. As a fan of the game I can proudly say they did it justice and then some.
Story
This is story done right, no info dumping here. Every piece of information you learn is through the characters themselves. You discover the supernatural by following the main character, Yu Narukami.
Art
Persona 4 the Animation possess a unique sense of style that is sure to split people's opinions on this subject.
Sound
The overall sound is done quite well. Many tracks are brought in from the game along with some new that fits right in with the old.
Character
This is where the anime shines. Every character is unique with many hidden depths. Even the side characters are interesting and memorable. This is where the anime has outdone the game. The way they handled the MC from the game was my biggest worry and I'm happy to say they went beyond. They have made Yu Narukami into a fully realized fun character to watch
In my opinion this is a pitch perfect anime that can pull on your heart stings or make you laugh your ass off whenever it feels like. A fantastic cast of well developed characters, interesting story, artistic style, and one of the best English dubs I've heard seals a 10/10 from me.