A new teaser site has popped up on from Square Enix. The site features little in the way of clues, but the background of a foreign planet with the characters "S_AR 01 01" are leading many to conclude that a new Star Ocean game could be in the works.
The only other parts of the page are a Twitter feed following #sqex_secret and buttons to share the page on Facebook and Twitter. Sharing the page through those buttons adds the message "NEXT 2015.04.13." It looks like we will be receiving answers this coming Monday.
Until then, I'll be holding out hope for a new Star Ocean because I remember watching dragons fight spaceships in Star Ocean: Till the End of Time and it was awesome.