Here is the full list of all 19 BIOS achievements.
Get 10,000 Units
Kill 500 turrets or AI bots
Kill either a turret or an AI bot with a grenade
Kill 100 turrets or AI bots
Kill 50 turrets or AI bots
Acquire at least one platinum medal
Destroy a missile fired from a turret
Acquire at least one silver medal
Acquire at least one gold medal
Acquire at least one bronze medal
Complete any race with 100% accuracy
Get 100,000 Units
Get 1,000,000 Units
Kill 1,000 turrets or AI bots
Kill 50 Zombies
Kill 100 Zombies
Kill 500 Zombies
Kill 1,000 Zombies
Headshot 10 Zombies