Here is the full list of all 16 Delicious - there are Moms vs Dads achievements.
Complete the tutorial
Complete level 5.
Complete the first chapter to get this postcard.
Complete all the levels at the Prenatal and Children Spa.
Complete all the levels at Camp Talon.
Complete all the levels at Sharon's Garden.
Complete all the levels at Emily's Garden.
Complete all the levels at Emily's Kitchen.
Complete all the story events.
Buy every product from every shop.
Unlock every product upgrade for every menu.
Find Carl the Mouse across every level of the game.
Complete 15 daily challenges.
Unlock all three stars on every level of the game.
Unlock all three stars on every challenge in the game.
Use diamonds to purchase all the rear porch furniture.