After Sakura-con 2016, my first Persona game to start off with is none other than Persona 3. ^_^ So far, I simply love Atlus and even the game series. Now I even want the Persona 4 game, and manga. ^_^
I just ordered Persona 4 tonight it will be coming in two days from now. Yup, that's right, I will have to try those two out as well. I have only seen a glimpse of the first two, I will branch out onto those games. ^_^
https://otakumode.com/shop/54d892ae04f549631ada0a53/Persona-4-The-Golden-Duralumin-iPhone-6-Case
Although it looks to be sold out on that site.
My personal favorite is Persona 3.
I recommend also branching out and playing the main series it was based off of, Shin Megami Tensei.
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