V-r0cK on 23 September 2014
https://support.us.playstation.com/app/answers/detail/a_id/5376
Current complete list of game supported for PS TV in NA. This list will continue to be updated as more Vita games will be updated to support PS TV.
Personally I'd love to have Crisis Core from PSP but then again I'd rather Square do an HD remake for it for PS4 =)
