Here is the full list of all 22 Everdream Valley achievements.
Raise 20 chickens
Catch 30 fish
Catch 30 butterflies
Go through 10 dream missions
Raise 20 young animals
Collect all species of animals on the farm
Cut down 30 trees
Catch 5 fish
Raise one young animal
Find 3 magpie nests
Go through one dream mission
Prepare 30 dishes
Harvest the crop from 300 plants
Pet 30 animals
Collect 100 mushrooms
Raise a chicken
Prepare 5 dishes
Play with the cat until it reaches the maximum level
Harvest crops from 50 plants
Cut down 5 trees
Train your dog to the maximum level
Pet 5 animals