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