Here is the full list of all 15 Cute Puzzle MAX achievements.
Win Picture15 Achievement
Win Picture12 Achievement
Win Picture11 Achievement
Win Picture07 Achievement
Win Picture06 Achievement
Win Picture05 Achievement
Win Picture02 Achievement
Win Picture01 Achievement
Win Picture09 Achievement
Win Picture04 Achievement
Win Picture10 Achievement
Win Picture13 Achievement
Win Picture03 Achievement
Win Picture08 Achievement
Win Picture14 Achievement