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