Here is the full list of all 38 RAD trophies - there are 22 bronze, 12 silver, 3 gold and 1 platinum.
Help Billy complete his garden
Defeat the Colossus
Heal, burn and heal some more using fruit
Unlock 50% of the Tome of the Ancients
Upgrade Shermie's Shop
Receive disapproval from the Mender altar
Get a Kill Streak of 10 or more
Help Billy farm a plant
Discover a Mutation Combo
Receive a tasty beverage from the Mender altar
Capitalize on your bodaciousness
Unlock 25% of the Tome of the Ancients
Eject 100 tapes from an ATM
Become a Platinum member
Participate in a Daily Challenge
Steal a key from a shop using Suck Face
Do someone a solid
Unlock all Rad Trophies
Upgrade Shermie's Shop to the max!
Become a Desert Chrome member
Pop a chicken with your snake head
Conceive a serpent baby
Unlock 75% of the Tome of the Ancients
Unlock 100% of the Tome of the Ancients
Unlock all styles
Unlock all weapons
Unlock all Quirks
Complete Cathode Raider Tasks
Complete Transfigured Tasks
Complete Vestigial Tasks
Fully upgrade the town statue
Annihilate 5 enemies at once
Get a Survivor Streak of 10 or more
Receive a cash payout from the Mender altar
Shamefully fall to your death while fighting the Colossus
Complete the game De-Made style
Load your body up with the bummer mutation trifecta
Stay aloft for 10 seconds