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