Here is the full list of all 12 Giana Sisters: Twisted Dreams achievements worth 400 gamerscore.
Unlock the power to warp your dreams.
Defeat Hansel and Gretel
Defeat Octor Freud
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
Unlock Hardcore Mode
Unlock Über Hardcore Mode
Obtain a trophy in all Time Attack levels
Obtain a trophy in all Score Attack levels