Here is the full list of all 48 The LEGO Movie - Videogame achievements. It takes around 15-20 hours to unlock all of the achievements on Windows.
Completed Level 1 - Bricksburg Construction
Completed an Instruction Build without losing any studs
Completed Prologue - The Prophecy
Completed Level 2 - Escape From Bricksburg
Completed Level 3 - Flatbush Gulch
Completed Level 4 - Flatbush Rooftops
Completed Level 5 - Escape From Flatbush
Completed Level 6 - Welcome to Cloud Cuckoo Land
Completed Level 7 - Attack on Cloud Cuckoo Land
Completed Level 8 - Escape from Cloud Cuckoo Land
Completed Level 9 - The Depths
Completed Level 10 - Infiltrate The Octan Tower
Completed Level 11 - Put The Thing On The Thing
Completed Level 12 - Broadcast News
Completed Level 13 - Back From Reality
Completed Level 14 - Bricksburg Under Attack
Completed Level 15 - The Final Showdown
Collected all pairs of Pants (Single Player)
Achieved The Special in every level (Single Player)
Collected all of the Red Bricks (Single Player)
Collected all Golden Manuals
Purchased All Master Builders
Purchased All Characters
Completed all Instruction Builds in Story Mode
Completed all Golden Instruction Builds
Earned 1,000,000,000 studs
Achieved 100% Completion
Destroyed 50 Enemies as Metal Beard
Killed 20 Enemies as Rage Unikitty
Kragelized 10 people with the Kragle Gun
Attempted a Master Build-It with a Non-Master Builder
Defeated 30 Enemies as Emmet Cowboy
Defeated 20 Enemies As Sheriff Not-A-Robot
Scored 21 awesome dance moves in the Construction Site dance mini game.
Scored 21 awesome dance moves in the Kragelizer dance mini game.
Made a Fire
Collected all studs in a hacking mini-game
Customised your character.
Played as Abraham Lincoln and Lady Liberty
Completed all Master Builds in Server Room as Benny
Played as Superman and Green Lantern
Used Lord Business' Legs Machine
Switched from Vitruvius to Ghost Vitruvius
Shot Emmet with Robo Skeleton.
Used the Kragle Gun to shoot Ma and Pa Bad Cop in the Relic Room.
Found and destroyed the Invisible Jet
Smashed a chair as Bad Cop
Switched from Good Cop (Scribble Face) to Bad Cop.