Yeah, other then some very slight audio issues, Bioshock has been running and looking great for me on PS4.
It does indeed look and run great on PS4, im very happy with it. I actually even turned off expanded FOV as this returned the view to the original FOV as on 360 when it launched. It makes the game more intense for me, bigger wrench and hands lol. im sure a patch will address the sound issues, otherwise its excellent on PS4.