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