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