Here is the full list of all 47 EDGE achievements.
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"
Complete all bonus levels
Collect all prisms in the game
Take a leap of faith
Summon the mythical bird in "mystic"
Get shuffled in "magic"
Find Toki Tori
Unleash the nibbling totem monkey head in "babylonian"
Get to the exit of "hammer" fast
Collect all prisms in the normal levels
Complete all normal levels
Get an S+ rank on all normal levels
Complete 45 normal levels
Get an A rank on all normal levels
Cross the block-enemy section in "cube invaders" without activating any of the three bridges
Get on top of an invader
Complete 36 normal levels
Fall directly on the exit square in "star castle"
Finish a level in mini form
Find the QR code
Get 10 seconds of EDGE time as a mini cube
Get 30 seconds of EDGE time on a moving platform
Fall more than 16 meters and survive
Complete 24 normal levels
Grab the prism after the wall sequence in "higher" as mini cube
Finish a level without collecting any prisms
Get at least 8 seconds of EDGE time on the human figure in "edge time"
Get more than 0.5 seconds of EDGE time on the active side of a bumper
Get crushed 10 times
Jump on top of a car in "peripherique"
Complete 12 normal levels
Ride the complete subway track
Evade the subway fare
Get picked up by a platform and then dropped off by a platform
Get picked up by a platform while hanging on an edge
Get dropped off by a platform and continue hanging on the wall
Balance on the floor for at least 5 seconds
Finish a level by getting EDGE time on every edge climbed
Find the six hidden switches in the snow-covered levels in December
Get 60 seconds of EDGE time
Get 30 seconds of EDGE time
Get 10 seconds of EDGE time