There are 10 new Trophies in this DLC.

Bronze

Sphinx' Riddle    
Complete all 40 of the Catwoman Riddler grid items

Feline Revenge    
Obtain all 72 medals on the original Arkham City ranked maps (as Catwoman)     

Campaign Kitty    
Obtain all 108 medals on the original Arkham City campaigns (as Catwoman)     

Robin Revenge    
Obtain 78 medals on the original Arkham City and Robin Bundle Pack ranked maps (as Robin)     

Campaign Wonder    
Obtain 114 medals on the original Arkham City and Robin Bundle Pack campaigns (as Robin)     

Nightwing Revenge    
Obtain 78 medals on the original Arkham City and Nightwing Bundle Pack ranked maps (as Nightwing)    

Campaign Nightwing    
Obtain 114 medals on the original Arkham City and Nightwing Bundle Pack campaigns (as Nightwing)

Silver

Arkham City Sirens     
Drop in on an old friend     

Pick Pocket    
Steal the score of a lifetime     

Family Jewels    
Retrieve your stolen goods

http://www.ps3trophies.org/game/batman-arkham-city/trophies/