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