Here is the full list of all 60 Jagged Alliance - there are Back in Action achievements.
Miguel Cordona becomes king
Kill Deidranna
Stop Dr. Pippin's evil scheme
Liberate Meduna City
Buy goods for 1,000,000$ in the online shop
Recruit Hamous
Recruit Carlos
Recruit Maddog
Recruit Iggy
Liberate San Mona
Recruit Conrad
Help Richie "The Wizard" Parker find a limited edition of DaHonko Flakes!
Liberate Balime City
Destroy a tank with the rocket launcher
Recruit Devin
Recruit Shank
Use either smoke, stun, frag and teargas grenades at least once
Liberate Cambria City
Help Fatima and her children
Liberate Grumm City
Kill an enemy with a mine you planted
Plant a mine
Liberate Alma City
Throw 100 grenades
Recruit 100 locals for the militia across several playthroughs
Kill a total of 1000 enemies
Fire a total of 5000 bullets
Kill an enemy with a frag grenade
Pick 10 locks
Hire a total of 6 mercs
Restore 1000 health
Restore 1000 durability on weapons
Recruit a local for the militia
Recruit Ira
Rescue a merc from dying
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
Blast through 100 walls
Plant 100 mines
Loot over 100000$ across several playthroughs
Open 10 doors with the crowbar
Recruit Miguel
Recruit Dimitri
Recruit Dr. Vince
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