To add onto what Jun is saying:
Persona 2 carries on the darker tone P5 carries, as well as has demon negotiations, so you'll feel at home.
It remove the schoolboy theme, and social stats, and replaces it where your whole team is a wildcard user, and it's more of a classic RPG.
I've only played Innocent Sin, but a lot of people swear by Eternal Punishment.
Persona 2 IS is the first half. EP is the game's second half of the story.