Here is the full list of all 31 Toy Odyssey: The Lost and The Found trophies - there are 14 bronze, 10 silver, 6 gold and 1 platinum.
Open 30 Challenge Chests.
Open all diary pages.
Collect 10,000 Nuts.
Use all four weapon types for the 1st time.
Go 5 rooms from the base without killing any enemies.
End the night with only the 1st room revealed 10 times.
Seal up the 1st Wall rift.
Remain in the air for 10 seconds or more.
Break 300 Breakables.
Activate 10 Rat holes in one play through.
Drop 100 drop-platforms.
Collect 1000+ Nuts in one play through.
Win the Slot machine 3 times in a round.
Bet at a Slot machine for the 1st time.
Open 10 Chests in one play through.
Turn on the Power Stabilizer for the 1st time.
Manually go back to base to end a night for the 1st time.
Get an enemy killed by another enemy's actions.
Collect all trophies.
Complete full game.
Kill a spider with fire.
Death by a Velociraptor 10 times.
Death by Clown 2 times.
Open all doors in one playthrough.
Turn on all lights in one play through.
Kill 30 enemies in one playthrough without taking damage.
Fail 3 Challenges in one play through.
Complete the game within 49 nights.
Collect all blueprints.
Craft 1,000 times.
Successfully Defend 10 times.