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