Here is the full list of all 24 Special Warfare achievements.
Kill the first person
Won the first game victory
Victory 5 games
Victory 10 games
Victory 20 games
Victory 30 games
Victory 40 games
Victory 50 games
Victory 70 games
Victory 100 games
Victory 125 games
Victory 150 games
Victory 200 games
Kill 10 players
Kill 50 players
Kill 100 players
Kill 200 players
Kill 500 players
Kill 1000 players
Kill 2000 players
Kill 5000 players
Kill 10000 players
Kill 50000 players