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