Here is the full list of all 18 Jey's Empire achievements.
You successfully infiltrated the McClellan Comitee
You are a true Mafia Fighter : the godfathers are now threatening your agents
An organization reached a threat level of 26 or more
You made Robert Kennedy's son crying
You have eradicated the chicago mafia
You resolved the case of the Murder of 3 Civil Rights Activists near Neshoba
You have conducted a raid
You've conducted a least 10 raids in a single game session
You've erradicated the Mafia in New York
Dogs are mad, the director of the FBI is not
The violence score of the Hog Farm reached 3 or higher
You conducted successful arrests among the United Farm Workers
You have made 50 or more arrests in a single game session
You have made 100 or more arrests in a single game session
The cumulative threat score of all the organizations you have arrested is >=500
one of your undercover agents reached the level 20
You have captured a soviet spy in Alaska
You've finished and won a game