Here is the full list of all 52 LEGO The Incredibles trophies - there are 40 bronze, 9 silver, 2 gold and 1 platinum.
Collect all Minikits in a level
Use all of Jack-Jack's different powers
Extinguish the fires during ''Screenslaver Showdown'' without the Family Build
Chase down Screenslaver in ''Elastigirl On The Case'' within 3 minutes and 15 seconds
Defeat a district boss with a Senior Citizen
Achieve a 75 hit combo
Release a district boss from prison
Freeze a police officer with Frozone
Complete Chapter 6 - ''Screenslaver Showdown''
Complete Chapter 5 - ''House Parr-ty''
Destroy all the moving boxes during ''House Parr-ty''
Complete Chapter 4 - ''Elastigirl on the Case''
Complete Chapter 3 - ''Revelations''
Score 'Incredible' in all raccoon encounters during ''Revelations''
Complete Chapter 2 - ''Hover Train Hijinx''
Perform a wheelie for 10 seconds during ''Hover Train Hijinx''
Clean up all districts
Defeat an enemy with a non-super character
Create a custom character
Create a custom character with a cape
Complete 50 ambient crimes in the city
Finish a race with Dash achieving silver
Complete an underwater race as Dory
Collect a Red Brick
Complete an ambient crime in the city
Clean up a district
Throw five enemies into the gears during ''Undermined''
Complete Chapter 1 - ''Undermined''
Achieve True Super in any level
Complete your first Family Build
Unlock all trophies
Complete Chapter 7 - ''The Golden Years''
Survive Bomb Voyage's maze during ''The Golden Years'' without taking damage
Complete Chapter 8 - ''Vigilant Vigilantes''
Complete ''Vigilant Vigilantes'' in 9 minutes
Complete Chapter 9 - ''Nomanisan Island''
Trigger all traps during ''Nomanisan Island''
Complete Chapter 10 - ''Return to Nomanisan Island''
Complete ''Return to Nomanisan Island'' without being hit by a goo cannon
Complete Chapter 11 - ''Above Parr''
Don't get hit by any plane parts during ''Above Parr''
Complete Chapter 12 - ''The Final Showdown''
Complete ''The Final Showdown'' with Lucius Best (Workout)
Complete ''Omnidroid Rampage''
Achieve True Super in all levels
Collect all Minikits in the game
Complete all Family Builds
Collect all Red Bricks
Earn 1,000,000,000 Studs
Achieve 100%
Attack Gilbert Huph with Bob Parr
Pair Buddy Pine with Syndrome