Here is the full list of all 39 Anthropomachy achievements.
Conquered Earth as Athena
Conquered Earth as Hades
Conquered Earth as Hermes
Conquered Earth as Persephone
Conquered Earth using only blessings
Conquered Earth using only curses
Conquered Earth with altruist honor
Conquered Earth with evil honor
Conquered Earth with neutral honor
Win by a small margin
Used an ability over 100 times
Used an ability just one time
Unlocked all abilities from a God
Evolved the Intrigue trait up to 99%
Evolved the Wisdom trait up to 99%
Evolved the Violence trait up to 99%
Evolved the Impulsiveness trait up to 99%
Evolved the Egocentrism trait up to 99%
Evolved the Cruelty trait up to 99%
Evolved the Bravery trait up to 99%
Evolved the Benevolence trait up to 99%
Evolved the Arts trait up to 99%
Empowered Aeolus
Empowered Eris
Empowered Hebe
Empowered Hecate
Empowered Mnemosyne
Empowered Morpheus
Empowered Nemesis
Empowered Thalassa
Empowered Themis
Conquered Earth as Apollo
Conquered Earth as Ares
Conquered Earth as Arthemis
Conquered Earth as Dionysus
Conquered Earth as Hephaestus
Conquered Earth as Hera
Conquered Earth as Poseidon
Conquered Earth as Zeus