Here is the full list of all 25 Tiny Troopers achievements. It takes around 6-8 hours to unlock all of the achievements on Windows.
Beat Chapter 3
Fully Upgrade Your Squad
Kill 50 Enemies with Delta Force
Kill 50 Enemies with Rockets
Kill 50 Enemies with Machine Gunner
Destroy 10 Tanks
Collect 10 Medicrates in Zombie level
Beat Chapter 2
Revive fallen squad members 10 times in Zombie level
Earn 200,000 Command Points
Destroy 10 Towers
Kill 50 Enemies with Airstrike
Get a full squad in Zombie level
Kill 100 Zombie chickens
Kill 50 Enemies with Grenades
Beat Chapter 1
Open a Gate in Zombie level
Lose 5 Troopers to Mines
Order 10 items from HQ
Lose the first mission
Collect 25 Dog Tags
Use Airstrike to Kill 3 Enemies At Once
Use one of each heavy weapon on a single mission
Kill 100 Enemies
Complete the Tutorial