Here is the full list of all 47 EDGE achievements.
Complete 24 normal levels
Get dropped off by a platform and continue hanging on the wall
Fall more than 16 meters and survive
Get picked up by a platform while hanging on an edge
Complete 12 normal levels
Get 30 seconds of EDGE time
Get 10 seconds of EDGE time
Get 10 seconds of EDGE time as a mini cube
Get 60 seconds of EDGE time
Complete 36 normal levels
Complete 45 normal levels
Complete all normal levels
Complete all bonus levels
Get an A rank on all normal levels
Get an S+ rank on all normal levels
Collect all prisms in the game
Collect all prisms in the normal levels
Finish a level without collecting any prisms
Finish a level by getting EDGE time on every edge climbed
Get crushed 10 times
Get 30 seconds of EDGE time on a moving platform
Get on top of an invader
Ride the complete subway track
Find the QR code
Grab the prism after the wall sequence in "higher" as mini cube
Finish a level in mini form
Get more than 0.5 seconds of EDGE time on the active side of a bumper
Get picked up by a platform and then dropped off by a platform
Get at least 8 seconds of EDGE time on the human figure in "edge time"
Fall directly on the exit square in "star castle"
Jump on top of a car in "peripherique"
Evade the subway fare
Balance on the floor for at least 5 seconds
Cross the block-enemy section in "cube invaders" without activating any of the three bridges
Find Toki Tori
Get to the exit of "hammer" fast
Unleash the nibbling totem monkey head in "babylonian"
Summon the mythical bird in "mystic"
Get shuffled in "magic"
Press the first nine switches in "don't click!" and finish the level
Don't skip any of the moving wires in "wire"
Escape the clutch of the elevator in "star dust" and get across
Use only one of the nine switches at the end of "click"
Climb the flag in "highest flag"
Complete all extended levels
Take a leap of faith
Find the six hidden switches in the snow-covered levels in December