While Tetsuya Nomura said Final Fantasy Agito XIII voice recording sessions will start after The 3rd Birthday, Agito isn’t the next game on Square Enix’s release list. Nomura said, over Twitter, there other unannounced games will be released first.
"There are several unannounced titles. These will go before Agito and Versus. Some have voice recording completed. Announcements will happen in Japan," Nomura affirmed.
This reminds me of a patent we found, registered to Tetsuya Nomura, for a puzzle RPG battle system. Square Enix, so far haven’t said anything about that idea.