Here is the full list of all 60 Jagged Alliance - there are Back in Action achievements.
Kill all five agents who have the missile launchers
Kill Rygor Manson and save John Gaiden
Find the two dropped crates containing the equipment
Recruit Jamirez
Kill 10 enemies using the knife
Find the dropped crates containing the equipment
Defeat Silevic and stop the missile launch!
Free Fox from captivity!
Kill Deidranna within 15 days
Kill 100 enemies with melee attacks
Help Richie "The Wizard" Parker find a limited edition of DaHonko Flakes!
Blast through 100 walls
Stop Dr. Pippin's evil scheme
Plant 100 mines
Miguel Cordona becomes king
Kill Deidranna
Kill Deidranna in tactical mode
Kill Deidranna in high difficulty mode
Recruit Dr. Vince
Recruit Carlos
Loot over 100000$ across several playthroughs
Liberate Meduna City
Buy goods for 1,000,000$ in the online shop
Recruit Devin
Liberate Balime City
Recruit Conrad
Destroy a tank with the rocket launcher
Recruit Hamous
Recruit Shank
Help Fatima and her children
Recruit Miguel
Recruit Dimitri
Kill a total of 1000 enemies
Liberate Grumm City
Recruit Iggy
Recruit 100 locals for the militia across several playthroughs
Throw 100 grenades
Liberate San Mona
Recruit Maddog
Open 10 doors with the crowbar
Liberate Alma City
Use either smoke, stun, frag and teargas grenades at least once
Pick 10 locks
Fire a total of 5000 bullets
Hire a total of 6 mercs
Restore 1000 durability on weapons
Liberate Cambria City
Kill an enemy with a frag grenade
Kill an enemy with a mine you planted
Defuse a mine
Plant a mine
Restore 1000 health
Loot over 1000$ across several playthroughs
Rescue a merc from dying
Recruit Ira
Use explosives to blast a hole into a wall
A single merc received over 100 damage in a single encounter without dying
Recruit a local for the militia
Secure Drassen Airport
Kill an enemy with a melee attack