Here is the full list of all 16 Lovely Moments: Dad and daughter achievements.
Complete first scene in any level
Complete second scene in any level
Complete third scene in any level
Complete fourth scene in any level
Complete fifth scene in any level
Complete sixth scene in any leve
Complete any scene in easy difficulty
Complete any scene in medium difficulty
Complete any scene in hard difficulty
Complete any scene in very hard difficulty
Complete the flying game for the first time
Complete the flying game without taking damage by birds
Complete the pot game for the first time
Complete the pot game with 100% score
Complete the eating game for the first time
Complete the eating game with exactly 10 spoons score