Here is the full list of all 15 Love n Dream achievements.
Obtain all collectible items
Poke 200 times
Obtain all hearts
Complete Inomi's story
Complete Honatsu's story
Complete Maritsuki's story
Complete Yasuna's story
Obtain 20 or more collectible items
Obtain 30 or more hearts
Complete Tamami's story
Complete Tofumi's story
Complete Misatsune's story
Record your first collectible item
Complete the first level
Record your first heart