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