Here is the full list of all 10 Cake4D achievements.
Pass Jump+run level without touching the mouse
Try to swim in front of the castle
Collect all 6 parts of the cake in the garden
Eat the cake
Collect 10 crystals in the first part of the game
Finish tutorial under 1.5 minutes
Finish tutorial under 2.5 minutes
Finish tutorial under 5 minutes
Finish the first part of the game with all parts of the cake