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