Here is the full list of all 15 The Chasm - there are Mines Of Madness achievements.
Muster the courage to enter the mine
Find the Chief's key
Survive the 3rd level
Survive the 4th level
Reach the game's last level
Unlock the bad ending
Unlock the good ending
Turn on 30 generators
Dig 100 blocks
Dig 300 blocks
Die in the mine
Get completely insane
Throw yourself into The Chasm and die like a fool
Push a minecart. Got it? A mine-cart!
Save yourself from suffocation