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 20 enemies in rapid succession
Kill 5 enemies with Grenade bug explosion
Kill 10 Thunderbugs in rapid succession
Survive for 180 seconds
Reach 6000 points in arcade mode
Kill 15 enemies with a single shot from a railgun
Reach 4000 points in arcade mode
Reach 2000 points in arcade mode
Push down the egg