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