Here is the full list of all 19 To The Core achievements. It takes around 12-15 hours to unlock all of the achievements on Windows.
Break 1M blocks in the milestone
buy the vision 5 upgrade
prestige 50 times
get 1 quadrillion coins
buy the vision 4 upgrade
buy the vision 3 upgrade
prestige 10 times
get 1 trillion coins
Break 100K blocks in the milestone
buy the vision 2 upgrade
get 1 billion coins
Prestige for the first time
Break 1000 blocks in the milestone
buy the vision 1 upgrade
get 1 million coins
complete the tutorial
Break 10M blocks in the milestone
beat the game
prestige 500 times