Here is the full list of all 14 Delicious - there are Emilys Message in a Bottle achievements.
Buy every product from every store
Achieve 3 stars on every level
Use all the diamonds to unlock every family character
Complete all the levels on the Hippie Island
Find all the mice across every level of the game
Collect all the memorable moments in the game
Complete all the levels from the new Napoli Family Restaurant
Complete all the levels from Vinicio's Vineyard
Complete all the levels at Gino's Farm
Complete all the levels at Marco's Fish Market
Complete all the levels at the Old Family Restaurant
Complete all the levels at the Emily's Garden restaurant
Finished Emilia's Place Restaurant
Unlock all the menu upgrades across all chapters