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