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