Here is the full list of all 12 Giana Sisters: Twisted Dreams - Director's Cut (EU) trophies - there are 9 bronze, 2 silver and 1 gold.
Unlock the power to warp your dreams.
Defeat Hansel and Gretel
Defeat Octor Freud
Defeat Gurglewocky
Collect a red gem while twirling
Jump or dash onto three owls without touching the ground
Use a spiky box like a trampoline
Obtain five stars in all levels in hard mode (except Extra levels)
Unlock Hardcore Mode
Unlock Über Hardcore Mode
Obtain a trophy in all Time Attack levels
Obtain a trophy in all Score Attack levels