Is there just something I'm not getting with Persona 3? I don't find it all that fun. Most of the the characters range from boring to downright obnoxious, and the writing just feels mediocre.
The gameplay is decent, but it's bog standard JRPG fare - the only thing I can think unique about it is the personas themselves, and those end up being more of a nuisance for me than actually ever helping.
Different strokes for different folks and all that crap, but I like the P3 characters because they're brutally realistic and dramatic, especially Yukari. They're typical highschoolers with parental issues and whatnot. They aren't super "anime" besides a few archetypal things. If you like the more "anime-ish", happy-go-lucky, high school stuff, then you'll probably prefer P4. Also, take into account when P3 came out: 2006. The gameplay was pretty good for it's time, although P3P and P4 have better gameplay.
The game has a lot of common tropes, but it uses those typical tropes very well, and the time period was less bogged down by those tropes (dead parent trope was less of an overused thing, plus that trope works well in P3 and connects the story together very well). Also, social links were a very cool, new thing and added a new level of gameplay. But if you like the Persona thing and less so the story/ characters, then you might like the original, main series, Shin Megami Tensei (Persona's a spinoff). SMT's more focused on the Demons (Personas were originally called demons in those games) and gameplay with some cool ass stories.
And Personas shouldn't be nuisances and should be very useful if you're properly fusing them frequently and getting new ones.