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