Here is the full list of all 12 Overcooked achievements. It takes around 6-8 hours to unlock all of the achievements on Windows.
Complete a kitchen in versus mode
Complete a kitchen of the underworld
Complete a kitchen in low earth orbit
Complete a kitchen in the haunted forest
Extinguish a burning kitchen
Complete a kitchen in the Arctic
Complete a kitchen on the road
Complete a kitchen on a pirate ship
Deliver a recipe to the Great and Terrifying Ever Peckish
Complete Overcooked and save the Onion Kingdom!
Be awarded three stars in every kitchen
Complete a kitchen while playing with a split pad