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