Here is the full list of all 36 Hermes: Sibyls' Prophecy achievements.
You have fed five starving locals!
You have banished five flocks of bats!
You have chased off eight Stymphalian birds!
You have healed four locals!
You repaired Hephaestus' forge!
You have restored four temples!
You have freed five Sibyls!
You revived the Cave Nymph!
You have purchased 200 gold coins from the merchant.
You found the correct passage without making a mistake!
You have inspected four lairs!
You saved Cerberus from dying of thirst!
You found the real Cunning without first choosing one of her clones!
You lit a fire to warm the nymph!
You dispelled the fog!
You ended the drought!
You have chased away seven wolves!
You have completed half the journey!
You returned the shell to Triton!
You have banished Typhon twice!
You have defeated two Stone Titans!
You cleansed the water!
You made a trade with Hades!
You concluded an agreement with the Moirai!
You have created two paths of clouds!
You acquired a flower for the witch!
You fully restored the Acropolis!
You have chased away 18 satyrs!
You summoned Zeus for the first time!
You have repaired 33 bridges!
You have removed 48 banners!
You have found 90 hidden objects!
You have destroyed five lightning balls!
You have defeated five cyclopes!
You have summoned four Sibyls!
You trapped the Brotherhood!