Here is the full list of all 19 The Expendables 2 Videogame trophies - there are 17 bronze and 2 silver.
Complete chapter 1
Play through an entire chapter with 4 player co-op
Perform all grab moves, melee attacks and signature kills
Perform all 4 fully upgraded grab moves
Take out the weapons train
Interrogate the sniper
Use each weapon in the game to kill an enemy
Blow the factory gates!
Complete a challenge
Complete the Campaign on Casual difficulty
Complete the Campaign on Hardcore difficulty
Complete all Challenges
Complete a mission on Hardcore without getting healed
Kill 50 enemies in a single combo
Kill 2000 enemies using melee attack or grabs
Complete chapter 2
Complete chapter 3
Complete chapter 4
Heal 50 times