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