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.
Clear Puzzle Mode Easy.
Clear Mission Mode Easy.
Unlock 10 skins in Challenge Mode "Advance".
Score 50 points in Time Attack Mode 60sec.
Unlock 10 skins in Challenge Mode "Basic".
Unlock 3 skins in Challenge Mode "Basic".