Here is the full list of all 11 Groovin' Blocks trophies - there are 5 bronze, 5 silver and 1 gold.
Obtain 34 hard stars.
Unlock all destruction bonuses.
Unlock Nuke bonus.
Unlock all bonus types.
Obtain 32 experienced stars.
Obtain 32 casual stars.
Get a 6x multiplier.
Complete a song set.
Unlock two bonuses.
Obtain 1 star from any song.
Obtain 36 stars on all challenge songs.