Here is the full list of all 34 Rambo The Video Game: Baker Team achievements.
Complete all BAKER TEAM missions
3000 kills in total
2000 headshots in total
Complete story mode on Green Beret difficulty
2 stars on Prologue
Reload Combo of 100 on any level
20 kill per minute ratio on any level
2 stars on Jailbreak
2 stars on POW Evac
2 stars on The Waterfall
10 chain kill combo on any level
15x Score Multiplier on any level
2 stars on Forrest Hunt
2 stars on The Demolition Of Hope
3 stars on all CHAPTER 1 Levels
2 stars on POW Camp
2 stars on River Run
2 stars on Interrogation Escape
2 stars on Deep Jungle
2 stars on Village Vanguard
3 stars on all CHAPTER 2 Levels
2 stars on Afghan Camp
2 stars on The Fort
2 stars on The Fort - Second Stab
2 stars on Cave Encounter
2 stars on The Final Showdown
3 stars on all CHAPTER 3 Levels
Reach Rank 20
2 stars on BAKER TEAM PART 1
2 stars on BAKER TEAM PART 2
2 stars on BAKER TEAM PART 3
3 stars on each BAKER TEAM mission
Complete the game and DLC on John Rambo Difficulty
Use at least once every weapon available in game