Each character has multiple fatalities that they can perform at the end of the match in Mortal Kombat 9 (2011 version) for the PS3 and Xbox 360.
This is the list of all finishers (two fatalities, one babality, and one stage fatality) for Shang Tsung.
All of these moves can be unlocked and added to your moves list by performing them in either Arcade Mode or Versus Mode.
Looking for more finishing moves? Check out my complete fatality guides:
Fatalities and babalities for Mortal Kombat on Xbox 360
Fatalities and babalities for Mortal Kombat on PS3
Shang Tsung’s Fatalities & Finishing Moves
Xbox 360
Bang Bang! — Down, Back, Down, Forward, A in jumping distance
Identity Theft — Down, Down, Back, Down, Y in jumping distance
Babality — Down, Back, Down, A in jumping distance
Stage Fatality — Up, Up, Back, X at close range
PS3
Bang Bang! — Down, Back, Down, Forward, X in jumping distance
Identity Theft — Down, Down, Back, Down, Triangle in jumping distance
Babality — Down, Back, Down, X in jumping distance
Stage Fatality — Up, Up, Back, Square at close range