Here is the full list of all 14 LOST EGG 3: The Final achievements.
Goal Final stage
Goal Stage 6
Complete Stage 4 with 5 stars
Complete Stage 3 with 5 stars
Complete Stage 2 with 5 stars
Goal Stage 4
Goal Stage 3
Goal Stage 2
Goal Stage 1
Complete Stage 1 with 5 stars
Goal Stage 5
Complete Stage 5 with 5 stars
Complete Stage 6 with 5 stars
Complete Final stage with 5 stars