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