Here is the full list of all 39 Little Noah: Scion of Paradise achievements.
Log 142 different accessories.
Obtain 100 blue crystals.
Earn 59 badges in the adventurer's log.
Red Crystal
Obtain 100 green crystals.
Defeat 50 Rascals.
Obtain 10 different Avatars.
Max out your bond with 40 different Lilliputs.
Repair the airship 75 times.
Complete 200 challenges.
Achieve a 150 hit combo.
Log 40 different Lilliputs.
Clear the game on HARD difficulty.
Defeat Greigh Little without taking any damage.
Defeat Fang (Wind).
Defeat a Fang without taking any damage.
Defeat Greigh without taking any damage.
Defeat Greigh Little.
Clear 25 monster lairs.
Defeat Greigh.
Defeat 2,000 enemies.
Use a potion 30 times.
Open 500 treasure boxes.
Buy 100 shop items.
Defeat Fang (Ice).
Use 20 Ruin Keys.
Activate Avatar Burst 30 times.
Defeat Queen.
Defeat Titan (Glaive).
Switch Noah's Avatar for the first time.
Defeat Titan (Hammer).
Reach the depths of the ruins.
Max out a Lilliput's level for the first time.
Reach the Winding Caverns.
Defeat a Titan without taking any damage.
Defeat Jack.
Defeat King.
Place a statue on the airship for the first time.
Begin exploring the ruins.