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