Full list of all 14 LET IT DIE trophies - 9 bronze, 4 silver and 1 gold.
The base game contains 13 trophies, and there is 1 DLC pack containing 1 trophies.
Capture 100 Fighters
Eat 1000 mushrooms
Defeat all Jackals
Defeat Taro Gunkanyama
500 equipped weapons/armor broken
Defeat Mr. Crowley
Die 100 times
Defeat Colonel Jackson
Achieve 100% home destruction on other players' bases 100 times
Defeat 100 Haters
Defeat Max Sharp
100 successful home defenses
Collect everything (Magazines, Mother Barb Songs, Stamps)
Completed "Destroy the 4 FORCEMEN" quest.