Attack of the drones is an achievement exclusive to the Simian Flu DLC. Its name is a pun on Attack of the Clones, the second movie in Star Wars.
How to get this achievement?
The player must allow humans to detect a colony, and let the colony sit there while drones circle around it, although the proper reaction is to make your apes evacuate, making this hard to get accidentally. After a time, the colony will be destroyed, and then the player will earn the achievement, although it may become a bit harder to win the current game.
For more information on making colonies, please see Family. Future..