I'll pass on the anime.
I'm in the boat that doesn't get why the series is beloved.
I don't understand how those silly "Tales of..." fans are so masochist. *troll face*
P4 fixed a bunch of things storywise too ;)
Personally, I felt the story of P4 being much more "animu" than the one from P3. P3 have a lot well-executed cliches from the genre and (at the time) more interesting characters, situations and dialog.
Let say that I have more "resonance" with what P3 presented than P4. Granted, P4 have some really good moments too but it didn't fell as huge as his predecesor, in any case, both games were (and still are) the best thing to come out in years for the genre.