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