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