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