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