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