Here is the full list of all 27 Hermes: Rescue Mission achievements.
Exile the Moirai
Light the Olympus fires
Save the people
Exile the servants of Hades
Restore the temple
Clear the river
Cure the people
Repair the statue
Exile the Cerberus
Dispel the darkness
Eliminate the drought
Pass half-way
Exile the satyrs
Eliminate the flood
Discover secret paths
Remove the underworld passage
Exile the wolves
Exile the bats
Help the starving people
Revive the nymph
Exile Gello
Exchange 4 items from the merchant
Bring gifts to the altar of Zeus
Repair the bridges
Remove all obstacles from the beginning
Craft the weapons
Exile Hades