Here is the full list of all 21 influence achievements.
Capture 1000000 ids over all time.
Survive for more than two minutes without capturing any other ids.
Leave the last id uncaptured for at least one minute.
Win a game with seven custom AI opponents.
Win a game without using all of the available Ego Points.
Win a nine-Ego game without using any Ego Points.
Play a game with allegiances turned on.
Win a multiplayer game with allegiances turned on.
Win a game with 3 speed and no other attributes.
Win a game with 3 agility and no other attributes.
Win a game with 3 resistance and no other attributes.
Win a game with all stats maxed out.
Host a network game.
Join a network game.
Chat while in-game.
Win a game after being reduced to ten or fewer ids.
Win a game without capturing any neutral ids.
Win a game with allegiances turned on in which you have no teammates.
Play back a saved song that is at least a week old.
Win a game without losing any ids.
Turn the sounds on.