Here is the full list of all 17 Incremental Cubes achievements.
Gain 1 platina cube
Defeat phase 20
Clear the first "Just Kill Challenge"
Defeat phase 15
Clear the first "Titanium Challenge"
Gain 1 gold cube
Clear the first "Robot Challenge"
Clear the first "No more Cubes Challenge"
Collect 1E30 Cubes
Clear the first "Broken Meter Challenge"
Clear the first "White Cube Challenge"
Prestige 100 times
Defeat phase 10
Defeat phase 5
Defeat phase 3
All cubes fall at the same interval
Reach Total multiplier 1T% in "Power of Cube"