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