Here is the full list of all 32 Hermes: War of the Gods achievements.
For fixing four statues
For retuning six stolen items
For making three deals with Gello
For healing 35 inhabitants
For finding the Moirai
For cleaning two lakes
For making a second deal with Hades
For banishing Typhon
For defeating seven stone titans
For removing twenty whirlpools
For discovering a third hidden passage
For stopping a drought
For completing half the journey
For dispelled a fog
For feeding eight starving inhabitants
For chasing away 20 colonies of bats
For returning the stolen gold
For chasing away eight satyrs
For lighting eight Olympus flames
For chasing away ten wolves
For bribing Cerberus
For making five offerings at the Altar of Zeus
For repairing 12 stone bridges
For removing 50 barricades
For defeating three servants of Hades
For opening the gates of Hades
For destroying ten revenge balls
Fir buying a shark fin
For rescuing five captives
For reviving the cave nymph
For restoring the Temple of Hera
For repairing Hephaestus forge