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