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.
Destroy all the moving boxes during ''House Parr-ty''
Score 'Incredible' in all raccoon encounters during ''Revelations''
Complete ''Return to Nomanisan Island'' without being hit by a goo cannon
Trigger all traps during ''Nomanisan Island''
Complete ''Vigilant Vigilantes'' in 9 minutes
Create a custom character with a cape
Achieve 100%
Complete all Family Builds
Complete 50 ambient crimes in the city
Complete ''The Final Showdown'' with Lucius Best (Workout)
Collect all Minikits in the game
Don't get hit by any plane parts during ''Above Parr''
Attack Gilbert Huph with Bob Parr
Use all of Jack-Jack's different powers
Extinguish the fires during ''Screenslaver Showdown'' without the Family Build
Earn 1,000,000,000 Studs
Collect all Minikits in a level
Complete an underwater race as Dory
Pair Buddy Pine with Syndrome
Release a district boss from prison
Collect all Red Bricks
Clean up all districts
Throw five enemies into the gears during ''Undermined''
Achieve a 75 hit combo
Freeze a police officer with Frozone
Defeat a district boss with a Senior Citizen
Finish a race with Dash achieving silver
Create a custom character
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 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
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''
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''
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