Kill as many aliens through out the game with super powers as possible. Once you are done the majority of the game and activities you will more than likely be short some kills.
Go to the center gateway and find the Super Fight Club (HARD) and farm kills there until the achievement pops.
I'm not entirely sure if you have to complete the fight club or not for the kills to count but I always did just to be safe.
I also found that for what ever reason the super stomp worked best as the others didn't seem to track as well.