Here is the full list of all 14 Black Widow: Recharged achievements.
Complete all challenges in coop mode
Resurrect an ally in coop mode
Complete all challenges in a single player mode
Kill 2000 Bugs
Prevent 100 eggs from hatching
Kill 15 enemies with a single shot from a railgun
Kill 10 Thunderbugs in rapid succession
Kill 5 enemies with Grenade bug explosion
Survive for 180 seconds
Kill 20 enemies in rapid succession
Reach 6000 points in arcade mode
Reach 4000 points in arcade mode
Reach 2000 points in arcade mode
Push down the egg