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