In Mortal Kombat 9 (2011 version) for the PS3 and Xbox 360, even the bosses like Goro have babality animations. It’s much more difficulty to perform a babality on Goro though than the other characters.
To perform a babality on Goro, you must play the game on Medium or higher difficulty. You can’t use any continues, and you must perform a babality on Shang Tsung in his base form and not his transformation form. If this criteria is met, don’t block on the winning around against Goro and you’ll be able to do a babality on him.