Here is the full list of all 24 Jagged Alliance Flashback achievements.
Heal 100 mercenaries in doctor mode
Use 50 bandages
Destroy 100 environment pieces
Use 25 bandages
Kill 500 enemies
Train 75 militia squads
Heal 50 mercenaries in doctor mode
Destroy 50 environment pieces
Train 25 militia squads
Destroy 10 environment pieces
Hire 50 Mercenaries
Hire 15 Mercenaries
Hire 5 Mercenaries
Complete the Spice questline
Find a way to Angetta
Kill the prince and complete the game
Complete a side mission
Complete all side missions
Kill 25 enemies
Kill 100 Enemies
Use 5 bandages
Heal 5 mercenaries in doctor mode
Train 5 militia squads
Complete the first mission