Basic story is the same as the first game, but it omits a lot of detail from the game. The anime is sloppily done and only serves as advertisement material for the game.
Like movies based on video games, it's safe to assume anime based on video games suck as well. I loved Persona 4 the Animation, though.
As someone who watched the anime 1st, I can say that I think for how much material it had to work with and only 12 episodes, it was well done.
I threw 10/10 at that thing,