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