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