Here is the full list of all 37 Hermea achievements.
Complete Olympus Level 1
Complete Olympus Level 2
Complete Acropolis Level 1
Complete Acropolis Level 2
Complete Underworld Level 1
Complete Underworld Level 2
Complete Olympus Level 1 under 2:00
Complete Olympus Level 2 under 2:00
Complete Acropolis Level 1 under 2:00
Complete Acropolis Level 2 under 2:00
Complete Underworld Level 1 under 2:00
Complete Underworld Level 2 under 2:00
Complete Olympus Level 1 without using abilities
Complete Olympus Level 2 without using abilities
Complete Acropolis Level 1 without using abilities
Complete Acropolis Level 2 without using abilities
Complete Underworld Level 1 without using abilities
Complete Underworld Level 2 without using abilities
Complete a level using only Hermes' Dash
Complete a level using only Zeus' Favor
Complete a level using only Chronos' Folly
Complete a level using only Artemis' Bow
Complete a level using only Aid of Atlas
Complete the level using only Hades' Best Friend
Stand still in a level for 30 seconds
Play for a total of 2 hours
Use Hermes' Dash a total of 50 times
Use Zeus' Favor a total of 50 times
Use Chronos' Folly a total of 50 times
Use Artemis' Bow a total of 50 times
Use Aid of Atlas a total of 50 times
Use Hades' Best Friend a total of 50 times
Complete a level with the Limited Abilities curse
Complete a level with the Dionysus curse
Complete a level with the Fixed Camera curse
Complete a level with the Kill Barrier curse
Complete a level with the Constantly Changing abilities curse