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.
Trigger all traps during ''Nomanisan Island''
Complete ''Vigilant Vigilantes'' in 9 minutes
Achieve a 75 hit combo
Use all of Jack-Jack's different powers
Defeat a district boss with a Senior Citizen
Release a district boss from prison
Freeze a police officer with Frozone
Attack Gilbert Huph with Bob Parr
Achieve 100%
Collect all Minikits in the game
Complete all Family Builds
Complete ''The Final Showdown'' with Lucius Best (Workout)
Collect all Red Bricks
Complete ''Omnidroid Rampage''
Complete Chapter 12 - ''The Final Showdown''
Achieve True Super in all levels
Complete Chapter 11 - ''Above Parr''
Don't get hit by any plane parts during ''Above Parr''
Complete Chapter 10 - ''Return to Nomanisan Island''
Complete ''Return to Nomanisan Island'' without being hit by a goo cannon
Pair Buddy Pine with Syndrome
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
Extinguish the fires during ''Screenslaver Showdown'' without the Family Build
Earn 1,000,000,000 Studs
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''
Complete Chapter 6 - ''Screenslaver Showdown''
Complete 50 ambient crimes in the city
Complete Chapter 5 - ''House Parr-ty''
Destroy all the moving boxes during ''House Parr-ty''
Complete Chapter 4 - ''Elastigirl on the Case''
Clean up all districts
Complete Chapter 3 - ''Revelations''
Complete Chapter 2 - ''Hover Train Hijinx''
Achieve True Super in any level
Finish a race with Dash achieving silver
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
Create a custom character
Create a custom character with a cape
Complete Chapter 1 - ''Undermined''
Complete your first Family Build