Here is the full list of all 14 TFC: The Fertile Crescent achievements.
Beat Hordes on Beginner or higher difficulty
Beat Horde Mode on Familiar or higher difficulty
Beat Horde Mode on Skilled or higher difficulty
Beat Hordes on Master difficulty
Beat Skirmish AI that was Beginner or higher difficulty
Beat Skirmish AI that was Familiar or higher difficulty
Beat Skirmish AI that was Skilled or higher difficulty
Beat Skirmish AI that was Master difficulty
Completed the Campaign
Won a game aligned with the Babylonians
Won a game aligned with the Assyrians
Won a game aligned with the Egyptians
Won a game during Early Age
Completed the first Campaign mission