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