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