Here is the full list of all 51 LEGO The Incredibles achievements. It takes around 15-20 hours to unlock all of the achievements on Windows.
Throw five enemies into the gears during ''Undermined''
Trigger all traps during ''Nomanisan Island''
Complete Chapter 9 - ''Nomanisan Island''
Use all of Jack-Jack's different powers
Complete ''Vigilant Vigilantes'' in 9 minutes
Complete Chapter 8 - ''Vigilant Vigilantes''
Complete Chapter 7 - ''The Golden Years''
Survive Bomb Voyage's maze during ''The Golden Years'' without taking damage
Extinguish the fires during ''Screenslaver Showdown'' without the Family Build
Chase down Screenslaver in ''Elastigirl On The Case'' within 3 minutes and 15 seconds
Complete Chapter 6 - ''Screenslaver Showdown''
Complete Chapter 5 - ''House Parr-ty''
Collect a Red Brick
Defeat an enemy with a non-super character
Complete Chapter 4 - ''Elastigirl on the Case''
Perform a wheelie for 10 seconds during ''Hover Train Hijinx''
Finish a race with Dash achieving silver
Complete Chapter 3 - ''Revelations''
Score 'Incredible' in all raccoon encounters during ''Revelations''
Create a custom character
Create a custom character with a cape
Complete Chapter 2 - ''Hover Train Hijinx''
Clean up a district
Complete an ambient crime in the city
Complete Chapter 1 - ''Undermined''
Achieve True Super in any level
Complete your first Family Build
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)
Destroy all the moving boxes during ''House Parr-ty''
Complete ''Omnidroid Rampage''
Achieve True Super in all levels
Collect all Minikits in a level
Collect all Minikits in the game
Complete all Family Builds
Collect all Red Bricks
Earn 1,000,000,000 Studs
Achieve 100%
Clean up all districts
Attack Gilbert Huph with Bob Parr
Achieve a 75 hit combo
Release a district boss from prison
Defeat a district boss with a Senior Citizen
Freeze a police officer with Frozone
Pair Buddy Pine with Syndrome
Complete an underwater race as Dory
Complete 50 ambient crimes in the city