Here is the full list of all 12 Moon Diver trophies - there are 8 bronze, 3 silver and 1 gold.
Clear Stages 1–4.
Clear Stages 5–8.
Clear Stages 9–12.
Visit all areas in all stages.
Achieve a Chain Kill of 100 or more.
Save your companions 10 times in a single game.
Raise the average level of all characters to level 50.
Collect 50 MC techniques.
Use 10 different 2P MC techniques.
Use 10 different 3P MC techniques.
Use 10 different 4P MC techniques.
Defeat 10,000 enemies.