Square Enix has announced an upcoming PS4 beta for Final Fantasy XIV: A Realm Reborn, they also announced that players can upgrade the Ps3 version to Ps4 free of charge:

[PRESS RELEASE]FINAL FANTASY XIV PLAYSTATION 4 SYSTEM
                        BETA ANNOUNCED FINAL FANTASY XIV: A Realm Reborn Coming to PlayStation®4
SystemLOS ANGELES (Sept. 9, 2013) – Square Enix, Inc.,  the publisher of SQUARE
ENIX® interactive entertainment products in the Americas, today announced that
the beta tests of FINAL FANTASY® XIV: A Realm Reborn on the new PlayStation®4
computer entertainment system will start on February 22, 2014.  Furthermore,
players on the current PlayStation®3 system will be able to migrate to the
PlayStation®4 system at no additional cost, when the system is available in North
America.
                                Players who have purchased the PlayStation®3 system version can transition their
character data to the PlayStation®4 system to continue their online
adventure. FINAL FANTASY XIV: A Realm Reborn is now available for $39.99 on the
PlayStation®3 system and $29.99 for Windows PC. A free 30-day trial is included
for new accounts, with monthly subscriptions starting at $12.99.
                                More detailed information on the PlayStation®4 system beta tests and the free
transition service will be released soon.