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.
Complete ''Vigilant Vigilantes'' in 9 minutes
Defeat a district boss with a Senior Citizen
Achieve a 75 hit combo
Release a district boss from prison
Chase down Screenslaver in ''Elastigirl On The Case'' within 3 minutes and 15 seconds
Complete ''The Final Showdown'' with Lucius Best (Workout)
Achieve 100%
Collect all Minikits in the game
Complete ''Return to Nomanisan Island'' without being hit by a goo cannon
Attack Gilbert Huph with Bob Parr
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
Score 'Incredible' in all raccoon encounters during ''Revelations''
Perform a wheelie for 10 seconds during ''Hover Train Hijinx''
Collect all Minikits in a level
Use all of Jack-Jack's different powers
Throw five enemies into the gears during ''Undermined''
Finish a race with Dash achieving silver
Freeze a police officer with Frozone
Pair Buddy Pine with Syndrome
Create a custom character
Create a custom character with a cape
Complete all Family Builds
Collect all Red Bricks
Clean up all districts
Complete 50 ambient crimes in the city
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 Chapter 9 - ''Nomanisan Island''
Trigger all traps during ''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''
Destroy all the moving boxes during ''House Parr-ty''
Complete Chapter 4 - ''Elastigirl on the Case''
Complete Chapter 3 - ''Revelations''
Complete Chapter 2 - ''Hover Train Hijinx''
Complete an underwater race as Dory
Collect a Red Brick
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