Here is the full list of all 16 Anime Artist 3: Harem achievements.
Complete (3 stars) level 15
Complete (3 stars) level 16
Complete (3 stars) level 14
Complete (3 stars) level 9
Complete (3 stars) level 10
Complete (3 stars) level 11
Complete (3 stars) level 12
Complete (3 stars) level 8
Complete (3 stars) level 7
Complete (3 stars) level 6
Complete (3 stars) level 5
Complete (3 stars) level 13
Complete (3 stars) level 4
Complete (3 stars) level 3
Complete (3 stars) level 2
Complete (3 stars) level 1