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