Here is the full list of all 61 War of the Human Tanks achievements.
Kill at Least One Enemy Tank Using Each of Your Tanks in a Battle
Win a Battle Using Only Heshiko
Develop the Infinite-Range Battery
Complete Episode 13: "The Daihon'ei Rebel Unit"
Complete Episode 12: "The End of the Decisive Battle in Shinjuku"
Complete Episode 10: "The Meow-Meow Naval Battle"
Defeat the... Tank?
Complete Episode 9: "Kurara Iikura Strikes Back"
Kill All Enemies by Using the Same Unit
Develop the Smart Radar
Achieve Ten Speed Bonuses
Complete Episode 13: "Miou Liberation Front"
Complete Assault Research Line
Destroy 500 Enemy Tanks
Finish War of the Human Tanks
Complete Episode 13: "Charge! Human Tanks"
Fight 50 Battles
Complete Episode 12: "What the Sword is for"
Complete Episode 11: "Infiltrate the Nagoya Tower"
Complete Shock Research Line
Win 25 Massive Victories
Complete Command Research Line
Complete Barrage Research Line
Complete Scout Research Line
Assemble 100 Tanks
Complete Interceptor Research Line
Defeat Mr. Cat
Defeat Mr. Cat (New Game Only)
Achieve a Wipeout Using Only Shock Tank Attacks
Kill Five Enemy Tanks in a Single Attack
Collect 1.000.000 Crates from Battles
Ensure a Safe Return for at Least 12 Wounded Units
Complete Episode 10: "Conquer the Northern Area"
Defeat the Tank-Model Tank
Achieve Three Wipeouts
Complete Episode 9: "Operation: White Wall"
Complete Episode 8: "Annihilate All Stray Tanks"
Complete Episode 7: "Under the Flag from the Past"
Complete Episode 6: "The General from Hell"
Complete Episode 5: "The Blue Sea and the New Tank"
Complete Episode 4: "Defeat the Conspiracy and Conquer Castle Matsumoto"
Destroy 25 Enemy Units Without Seeing Them First
Win a Battle Without Losing a Single Unit
Complete Episode 3: "Attack the Armored Train!"
Achieve a Massive Victory
Complete Episode 2: "Imperial-Capital Conquering Regiment"
Complete Episode 1: "Daihon'ei Unfrozen"
Complete Episode 5: "Pass Satou's Test"
Complete Episode 13: "The Will to Fight"
Defeat a Horde of Cats
Receive a Special Token
For Those Who Saw It All
Develop 30 Modules
Clear Fruit Bat Bonus Maps
Win the Battle for Yumishirogahara Before 5 Minutes Elapse (New Game only)
Overcome Megumi's Counterattack
Equip a Command Tank with Curry and Cola
Win a Battle Using Only Melee Attacks
Kill Five Enemy Units with a Scout Tank in a Single Battle
Win the Battle for Matsumoto Railway Without Using Battery Tanks (New Game Only)
Successfully Intercept 10 Attacks