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