Here is the full list of all 11 Lumines Supernova trophies - there are 6 bronze, 4 silver and 1 gold.
Clear all stages in Dig Down Mode.
Unlock all skins.
Clear Puzzle Mode Hard.
Score 210 points in Time Attack Mode 180sec.
Clear Mission Mode Hard.
Score 50 points in Time Attack Mode 60sec.
Unlock 10 skins in Challenge Mode "Advance".
Unlock 10 skins in Challenge Mode "Basic".
Clear Puzzle Mode Easy.
Clear Mission Mode Easy.
Unlock 3 skins in Challenge Mode "Basic".