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