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