Here is the full list of all 39 Bombshell achievements.
Finish the Whitehouse Prologue on Hard
Finish Episode 3 on Normal
Reunite with General Holloway
Died 50 times
Raise Defense to the maximum level
Finish Episode 2 on Normal
Collect 50000 KY
Reach Level 10
Used all heat generators
Collected each artifact at least once.
Killed 50 enemies with amiga
Finish Episode 1 on Normal
Killed yourself with the bowlingbomb
Buy each shop item at least once
Raise Vitality to the maximum level
Distract 5 enemies with the holo bombshell
Reached Level 5 without dying once
Kill 10 enemies with powers
Kill 10 enemies with the mighty fist
Kill 10 enemies with humiliation moves
Killed 50 insects
Kill 50 enemies with the Ion Maiden
Kill 100 enemies
Kill 10 enemies with the bowling bomb
Finish the Whitehouse Prologue on Normal
Finish Episode 1 on Hard
Finish Episode 2 on Hard
Finish Episode 3 on Hard
Reach Level 20
Reach Level 30
Finish all subquests in the game
Used Amiga to get out of a trap
Completed the game once without using any powerup
Raise Confidence to the maximum level
Raise one of the weapons to the maximum level
Complete all Heskel Challenges
Find all Datalogs
Use 10 Power Enhancers
Collect all other trophies