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