Here is the full list of all 43 Overcooked! All You Can Eat trophies - there are 28 bronze, 11 silver, 3 gold and 1 platinum.
Complete all Trophies
Complete the first level in all Worlds 1's
Use the Flamethrower to cook 20 items
Complete The Peckening Rises campaign
Complete an Extra Trimming world
Finish 15 games in Versus Mode
Finish 15 kitchens in Arcade
Play a level from Campfire with 4 Bear Chefs
Complete Overcooked! 2 and save the Onion Kingdom…again
Discover all locations/ levels in the main games
Win a kitchen in Versus Mode
Teleport as the Racoon
Throw 100 ingredients into a cooking pot
Deliver a wrong dish 10 times
Complete a kitchen in the Mines
Complete a kitchen on a Balloon
Throw 5 Tomatoes at another player
Pet Kevin in Overcooked! 2
Run over Unbread 10 times
Play as a Aquatic creature in a Sushi Level
Complete 5 tickets in under 30 seconds in Classic Mode.
Put 99 items in the bin
Have 10 tiles on fire at a time
Complete Overcooked! and save the Onion Kingdom!
Complete a kitchen in Cosmic Canteen
Play Overcooked! 4-2, with a Werewolf, a Ghost and a Vampire Chef
Complete a kitchen in the Munch Mansion
Respawn 10 times
Push someone off a level
Save An Ingredient From Burning At the Last Possible Second
Play Overcooked! 2-2, with 4 players all using the Rat chef
Extinguish a burning kitchen
Get 3 Stars in a level where each player is a Box Chef. Only available in Classic Mode.
Play a level with 4 players, of which 3 are the same chef
Use every emote
Play a level with 4 Reptile Chefs
Throw and Catch an Ingredient between 4 Alien chefs 15 times without dropping it
Complete Overcooked! and Overcooked! 2 tutorials
Play a level with 4 chefs wearing glasses
Keep a finished meal 30 seconds before serving it
Pet Kevin in Overcooked!
Complete a level in Classic Mode by doing all the recipes in order.
Attempt to throw something in Overcooked!