Here is the full list of all 32 Filthy Lucre trophies - there are 15 bronze, 11 silver, 5 gold and 1 platinum.
Complete a Sabotage mission without being detected
Complete a Primary objective without attacking enemies
Reach Rank 15
Escape "Kerrching!" after completing the Primary objective
Assassinate a target in one shot
Blow up the printing presses in "Stop The Press"
Escape “The Shakedown” after completing the Primary objective
Reach Rank 10
Kill an enemy with a Throwing Knife
Escape "Gaffercake" after completing the Primary objective
Purchase any upgrade in the Armoury
Reach Rank 5
Melee a stunned enemy
Trigger the Hit-squad
Escape a mission after completing a Primary objective
Escape any mission with 2 loot bags
Takedown a disracted enemy
Complete all trophies
Successfully complete all Secondary objectives
Successfully complete all Primary objectives
Complete all Challenges
Collect all Antiques
Kill 3 enemies simultaneously with a Remote mine
Kill 2 enemies at once with the Sawn-Off Shotgun
Kill 5 enemies with SMG without taking damage
Rescue your co-op partner during an interrogation
Trigger 10 distractions with the Remote Hack Gun
Kill an enemy with door explosion
Eliminate a guard whilst they're going for the alarm
Jam the guard's radio communications 5 times
Collect all 5 location paintings
Purchase all Equipment & Upgrades from the Armoury