Here is the full list of all 34 Goldmine achievements.
Mine one quadrillion gold.
Mark each living egg.
Let the baby dragons sleep.
Find an uncommon citrine gem.
Find an incredibly rare alaricium gem.
Find a ruby gem.
Find a rare chrysoberyl gem.
Mine one trillion gold.
Find a chrysoprase gem.
Find a copper tourmaline gem.
Find an amethyst gem.
Find a pezzottaite gem.
Reach prestige level 10.
Unlock the elementals.
Reach prestige level nine.
Reach prestige level eight.
Unlock the alchemists.
Reach prestige level seven.
Reach prestige level six.
Unlock the halflings.
Mine one billion gold.
Reach prestige level five.
Reach prestige level four.
Reach prestige level three.
Unlock the drow.
Reach prestige level two.
Unlock the dwarves.
Reach prestige level one.
Mine one million gold.
Unlock the gnomes.
Unlock the goblins.
Unlock the cobolds.
Mine one thousand gold.
Unlock the peons.