There are 10 new Trophies in this DLC.

Bronze

I Do My Own Stunts    
Land on the Parachute Target during the rescue scene.

Union Buster    
Kill 15 cameramen.    

Xenaphobe    
Kill Space Brutina.

Pew! Pew! Pew!    
Kill 35 Space Amazons with the Laser Pistol.    

Warrior Princess    
Kill 7 Space Amazons with melee attacks.    

Revenge of the Navigator    
Destroy 10 enemy spacecraft with the Aegean while filming.    

Do a Barrel Roll!    
Perform all vehicle stunts with the Aegean.

Silver

First Contact    
Destroy all enemy spacecraft during the chase scene.

Lights! Camera! Action!    
Collect all 6 hidden clapboards.

C-List Celebrity    
Complete all missions for Gangstas in Space.

http://www.ps3trophies.org/game/saints-row-the-third/trophies/