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