The PSVita Persona 4 Golden will be receiving a new anime that will be a continuation of the previous Persona 4: The Animation series. Atlus has revealed a trailer that showed protagonist Yu along with Marie, P4G’s major character who was that was added to the re-release of the PS2 game.
The anime is set to air in Japan starting in July. As of yet there is no news on a North American release. You can see the Japanese trailer here.