Here is the full list of all 31 Twisted Metal trophies - there are 2 bronze, 25 silver, 3 gold and 1 platinum.
Unlock all trophies in Twisted Metal.
Complete level 5, Assault on Cyburbia.
Eliminate a van in the Assault on Cyburbia level.
Complete level 4, River Park Rumble.
Drive through an alley in the River Park Rumble level.
Complete level 3, Freeway Free for All.
Blast through a road work site on the Freeway Free for All level.
Complete level 2, Warehouse District Warfare.
Eliminate a car in the Warehouse District Warfare level.
Complete level 1, Arena Duel.
Destroy all Calypso crates in the Arena Duel level.
Collect your winning prize as Road Kill.
Collect your winning prize as Hammerhead.
Collect your winning prize as Spectre.
Collect your winning prize as Mr. Grimm.
Collect your winning prize as Warthog.
Collect your winning prize as Pit Viper.
Collect your winning prize as Crimson Fury.
Collect your winning prize as Thumper.
Defeat an opponent with collision damage.
Collect your winning prize as Outlaw.
Collect your winning prize as Darkside.
Collect 5 weapons in any level.
Collect your winning prize as Yellow Jacket.
Defeat an opponent with a special weapon.
Collect your winning prize as Sweet Tooth.
Complete the final round and defeat Minion.
Defeat an opponent with the machine gun.
Destroy the pyramid on the Rooftop Combat level.
Cause either yourself or your opponent to fall off the rooftop in the Rooftop Combat level.
Complete level 6, Rooftop Combat.