Here is the full list of all 12 Cafe Crush achievements.
Discovered Emilia's true form
Got rejected by Lily
Got rejected by Josie
Got rejected by Emilia
Completed the game without manually opening the notebook
Got all ingredients in less than 30 seconds in Emilia’s memory card game
Got Emilia's good ending
Got Josie's good ending
Got Lily's good ending
Got all coffee quiz questions correct
Got all customer orders correct first time
Tried Emilia’s Cake on the first day