Here is the full list of all 53 Q.U.B.E: Director's Cut achievements.
Travel 100,000 metres
Collect 10,000 pickups
Play the game 500 times
Beat the Developer's Time in ROTATION STATION
Beat the Developer's Time in A NEW HOPE
Complete A NEW HOPE in the least amount of moves
Complete SPACE RACE in the least amount of moves
Play the game 100 times
Beat the Developer's Time in SPACE RACE
Collect 1,000 pickups
Get 3 gold medals in every level
Complete HOVER HEADWAY in the least amount of moves
Beat the Developer's Time in HOVER HEADWAY
Don't touch the floor
Complete PLANS FOR FANS in the least amount of moves
Beat the Developer's Time in SPEED WAY
Beat the Developer's Time in PLANS FOR FANS
Travel 10,000 metres
Make 1,000 moves in Time Trial mode
Complete RUIN RUSH in the least amount of moves
Beat the Developer's Time in RUIN RUSH
Jump on certain cubes in sequence
Complete TIME BOMB in the least amount of moves
Beat the Developer's Time in TIME BOMB
Complete LOST in the least amount of moves
Beat the Developer's Time in LOST
Collect 250 pickups
Beat the Developer's Time in NEON NIGHTMARE
Complete NEON NIGHTMARE in the least amount of moves
Attempt to extrude the developers
Find a picture of the developers
Complete ROTATION STATION in the least amount of moves
Complete SPEED WAY in the least amount of moves
Winning a race for the first time
Complete Q.U.B.E.
Complete Sector 7
Complete the final physics puzzle
Complete the second ball puzzle in Sector 7
Make 1,000 Moves
Complete Sector 6
Complete the hardest puzzle in the game
Complete the hidden puzzle in Sector 6
Complete Sector 5
Complete the series of magnet puzzles in Sector 5
Complete the hidden beta puzzle
Push the ball in the hidden area to the end
Find the hidden area in Sector 5
Complete Sector 4
Complete the hidden puzzle in Sector 4
Complete Sector 3
Complete Sector 2
Complete Sector 1
Complete the tutorial