The sheer number of people singing the praises of P4G and P3P has me intrigued though.
Persona 3 and 4 are kinda in their own class because of the social link system. Basically, between the times when you are fighting, during the day you are a normal high school student going to class and hanging with people after school. These relationships build up your social links, which allow you to make more powerful Personas to use.
The games feature strong character arcs and people you can really care about. Combat can be a little grindy, but it is about as grindy as you make it at times.
Personally, I don't think there are games quite like the Persona series, and they deserve all the praise they get.