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