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