But Persona plays like kind of an interwoven dungeon crawler - visual novel - with some dating sim mechanics.
Which part of it are you looking for?
Your post makes me think you are looking more after the VN aspects than the RPG aspects.
If that is the case you should.... buy a PS3 and learn Japanese. (Hell I can't think of anything for X360)
I can think of a couple of games in different systems with some mechanics that mix kind of socializing with later gameplay (Many Fire Emblems on Nintendo, perhaps Thousand Arms on PS1... many other games I don't remember)