Here is the full list of all 21 Age of Conquest IV achievements.
Casting a vote on a ballot.
Creating a ballot to be voted on by others.
Make a treaty with another culture.
Being very liked by the AI players.
Achievement for playing 24h or more.
Eliminate 1000 enemy units.
First multiplayer game won.
Achievement for 10 games won.
Being very much hated by the AI players.
Win a game playing as Sparta.
Declare war against a much larger nation.
Win against the Inhuman-AI.
Playing the first multiplayer game.
Achievement for a completing the tutorial.
Build a watch tower.
Eliminate 100 enemy units.
Hold a fertility festival in one of your settlements.
Achievement for playing 1h or more.
Hold 80% more of all the occupiable territory combined.
Achievement for a first game won.
Eliminate 10 enemy units.