During the Persona Special Stage at Tokyo Game Show 2015, Atlus announced plans for some kind of Persona 5 anime special. They specified that it would be a “special program”, indicating that it would likely not be a full, ongoing series like Persona 4: The Animation, but potentially a one-shot special similar to Bandai Namco’s adaptation of Tales of Zestiria. Details are rather scarce at the moment, but we will be sure to cover whatever new details surface in the future.
In addition to the anime, Atlus announced a Persona 20th anniversary celebration for next year. No other details have been revealed yet about that either.