Here is the full list of all 14 LET IT DIE achievements.
Eat 1000 mushrooms
Defeat Taro Gunkanyama
Die 100 times
Achieve 100% home destruction on other players' bases 100 times
Defeat Mr. Crowley
500 equipped weapons/armor broken
Defeat Colonel Jackson
Defeat 100 Haters
Defeat Max Sharp
Defeat all Jackals
100 successful home defenses
Capture 100 Fighters
Collect everything (Magazines, Mother Barb Songs, Stamps)
Completed "Destroy the 4 FORCEMEN" quest.