You must get all 3 stars on any S.T.A.R. Lab mission. To check the requirements for each of the stars, you can pause the game and select Mission Details. You do not need to get all 3 stars on the same attempt, so you can focus on just one star at a time if that is easier for you. I did this on a Red Son mission so I can confirm that those work. If you have the Red Son missions, I thought the first one for Superman was pretty easy. You must finish the level, deflect one asteroid at the last second, and never get hit by an asteroid. There are 15 asteroids and the button combinations for each asteroid will always be the same so you can keep practicing until can do it.
EDIT: Cornerscout has provided a fantastic video for this achievement and for It Has Begun