Here is the full list of all 33 Catlateral Damage trophies - there are 17 bronze, 10 silver, 5 gold and 1 platinum.
Unlock all other trophies
Complete 50 levels total in Objective Mode
Knock over 20,000 objects
Catch 10 mice
Unlock all playable cats
Unlock and complete the supermarkat in Objective Mode
Play with 100 cat toys
Complete 10 levels total in Objective Mode
Collect 200 photos
Collect 100 photos
Unlock and complete the mewseum in Objective Mode
Get a score of 2,000 or more in Objective Mode
Max out all skills
Finish an objective in under 1 minute 30 seconds
Knock over 5,000 objects
Get a score of 2,000 or more in Litterbox Mode
Topple 150 unique objects
Play in Litterbox Mode for an hour
Collect 10 photos
Knock over 1,000 objects
Be a cat for 30 minutes straight
Stay airborne for 3 seconds
Carry an object for 1 minute
Meow a whole bunch
Catch a mouse
Defeat the laser pointer
Meow a lot
Topple 50 unique objects
Don't knock over anything in a level
Only knock over 1 object in a level
Take a nap
Complete the tutorial
Complete an objective without using paws