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