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