Here is the full list of all 47 Army of Two: The Devil's Cartel trophies - there are 35 bronze, 8 silver, 3 gold and 1 platinum.
Earn all Army of TWO™ The Devil's Cartel Trophies
200 targets killed in double Overkill
Buy All Guns
Buy all Weapons, Tattoos, Masks and Outfits
Buy All Outfits
You didn’t go wounded once in a mission (medium, hard or insane)
Complete the game on Insane
500 targets killed while in cover
Level up to Rank 25
200 targets killed in single Overkill (Triggered by your partner)
200 targets killed in single Overkill (Triggered by you)
Perform 10 melee kills on wounded targets
100 targets killed using either an MMG or an MGL
Complete Confrontation
Complete the Campaign
Perform 50 Backstabs
Complete Assault
You took the Aggro for 100 Flank kills
Level up to Rank 15
Perform 250 Flank, Surprise and/or Tag Team kills
Fully customize a weapon with 6 customizable parts or more
Complete Narco Hell
Destroyed 500 objects
Complete Enemy Territory
Destroy 50 cars
Kill 10 Brutes in Physical Confrontation
Perform 100 Headshots
Perform 100 melee kills
Complete Salvation
Perform a x10 Co-op Combo
Complete Last Resort
Complete Outside Contact
Players simultaneously killed 2 unaware targets
Kill 3 targets or more using an explosive object in any level
Complete Rally Point
Perform 50 Hat Shots
Level up to Rank 5
Create your own Custom Mask
Apply the maximum number of layers on a customized mask
Complete Cause and Effect
Complete a mission (excluding New Blood) with a human partner
Kill 3 targets with 1 grenade
Headshot a target while blind firing
Perform a melee kill while you're in Overkill
Make your first kill as a rookie (in Cause and Effect mission)
Complete New Blood
Perform 10 cover to cover transition in a row