Here is the full list of all 25 Giana Sisters: Twisted Dreams achievements.
Obtain a trophy in all Score Attack levels
Obtain a trophy in all Time Attack levels
Obtain five stars in all levels
Complete the first world in Über Hardcore Mode
Complete the second world in Über Hardcore Mode
Complete the game in Über Hardcore Mode
Unlock Über Hardcore Mode
Collect all gems in the game
Defeat Gurglewocky
Defeat Octor Freud
Bounce off a falling turtle
Use a spiky box like a trampoline
Unlock Hardcore Mode
Have a human win a race against bots in three different Dream Rush levels
Unlock Cosmonaut Comrade from the SpeedRunners game by completing a race in three different Dream Rush levels
Have a human win a race against bots in two different Dream Rush levels
Complete a Dream Rush race
Have a human win a race against bots in a Dream Rush level
Defeat Hansel and Gretel
Avoid spikes by ducking
Jump or dash onto three owls without touching the ground
Collect a yellow gem while dashing
Land on an owl while twirling
Collect a red gem while twirling
Unlock the power to warp your dreams