Stephen D. sent over tip (thanks!!) letting us know an anime based on Persona 3 is coming out in January next year. Make that very likely coming out. A post over at Moonphase has a flier announcing Persona -trinity soul-, which takes place ten years after the events of Persona 3. A-1 pictures who makes Zenmai Zamurai is supposedly producing the series, but it isn’t listed on their official page. The official website for Persona -trinity soul– isn’t working either, but a quick whois report shows that Aniplex owns the domain name. It looks like this is an early leak and we will be hearing more about Persona -trinity soul- in future!
Edit: Cleaned up the title of the series. It's not Persona 3 -trinity soul-, it's just Persona -trinity soul- minus the "3".