Here is the full list of all 21 Chop is Dish trophies - there are 6 bronze, 5 silver, 9 gold and 1 platinum.
Unlock all achievements
Complete the tutorial
Complete level 1-1
Complete level 1-2
Complete level 1-3
Defeat the first boss
Complete level 2-1
Complete level 2-2
Complete level 2-3
Defeat the second boss
Complete level 3-1
Complete level 3-2
Complete level 3-3
Finish the game
Finish the game twice
View the credits until the end
Kill 72 monsters
Die from fire 5 times
Fall to abyss 5 times
Find the secret burger
Got the Game Over messaage