Full name: Shin Megami Tensei - Persona 4
Persona 4 is a turn-based stlye RPG.
This game takes away 2 years after Persona 3, in a much smaller urban area called Inaba, short after a young boy moves there, a murder is taken place, leaving no traces or evidence whatsoever, as that single incident follows into a chain of mysterious murders, he gets the power of Izanagi, the Persona of the Fool Arcana and starts getting deeper to discover the truth.
Battle system is, in a very slight way, like FF, you can attack, use Skills, etc etc. difference is that instead of Magic you use the Persona´s skills, every character comes with a predetermined Persona which you can get stronger by doing sidequests and leveling up in battles, the main Character can change Personas.
The game itself has many sidequests which are Maxing out the social links, this can be done by many ways, such as increasing Knowledge, or talking to somebody on a specific day, this helps unlocking more Personas and making you current ones stronger.
Hmm, yeah, that´s it, I´m too lazy to make a 30-page resume, lol, just, play the game.