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