Here is the full list of all 42 Overcooked! All You Can Eat achievements.
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
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 players, of which 3 are the same chef
Play a level with 4 chefs wearing glasses
Play a level with 4 Reptile Chefs
Finish 15 games in Versus Mode
Finish 15 kitchens in Arcade
Teleport as the Racoon
Throw 5 Tomatoes at another player
Throw and Catch an Ingredient between 4 Alien chefs 15 times without dropping it
Win a kitchen in Versus Mode
Put 99 items in the bin
Deliver a wrong dish 10 times
Complete the first level in all Worlds 1's
Throw 100 ingredients into a cooking pot
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
Discover all locations/ levels in the main games
Have 10 tiles on fire at a time
Play as a Aquatic creature in a Sushi Level
Complete a kitchen in the Mines
Complete a kitchen on a Balloon
Run over Unbread 10 times
Pet Kevin in Overcooked! 2
Complete Overcooked! and Overcooked! 2 tutorials
Complete Overcooked! and save the Onion Kingdom
Push someone off a level
Save An Ingredient From Burning At the Last Possible Second
Respawn 10 times
Complete a kitchen in Cosmic Canteen
Extinguish a burning kitchen
Complete a kitchen in the Munch Mansion
Use every emote
Complete 5 tickets in under 30 seconds in Classic Mode
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
Pet Kevin in Overcooked!