Here is the full list of all 51 The LEGO Movie 2 Videogame trophies - there are 37 bronze, 12 silver, 1 gold and 1 platinum.
Unlock all Trophies in The LEGO® Movie 2 - Videogame
Complete the Game to 100%
Build 20 Buildings in Syspocalypstar
Try and place an object somewhere you can't, while on Syspocalypstar.
Collect all Master Pieces on Planet Sparkles
Complete the Planet Sparkles Level
Collect all Master Pieces in Classic Bricksburg
Complete Classic Bricksburg
Collect all Master Pieces on Planet Unikitty
Complete Planet Unikitty
Collect all Master Pieces in Middle Zealand
Complete Middle Zealand
Play as a Minidoll for the First Time
Collect all Master Pieces in the Old West
Complete the Old West
Collect all Master Pieces in the Sorting Area
Collect all Master Pieces in Harmony City
Shoot 50 Stickers with the Sticker Gun
Collect all Master Pieces in the Systarian Jungle
Collect all Master Pieces in the Asteroid Field
Collect All Master Pieces on Apocalypseburg
Unlock a Gold Character Variant
Collect 100 Characters in the Game
Collect all Master Pieces in The Ceremony
Complete The Ceremony Level
Complete the Main Story
Unlock Sweet Mayhem
Unlock Batman
Complete the Sorting Area Level
Defeat the Sorting Area Boss
Unlock Benny
Complete the Harmony City Level
Unlock MetalBeard
Complete the Systarian Jungle Level
Defeat the Systarian Jungle Boss
Unlock Unikitty
Collect 100 Items in the Game
Open 50 Relics
Complete the Asteroid Field Level
Collect 1,000,000 Studs
Collect 1000 Brick Pickups
Unlock Rex
Complete the Syspocalypstar Sandbox Tutorial
Buy Something in a Shop
Open your first duplicate relic
Open your First Relic
Complete the Apocalypseburg Level
Defeat the Apocalypseburg Boss
Do a build attack
Open a Discovery Chest
Unlock Lucy