Here is the full list of all 45 Doom & Destiny trophies - there are 34 bronze, 6 silver, 4 gold and 1 platinum.
Get all trophies
Defeat the Flying Spaghetti Monster
Find All Secrets
Get All (13) Gold Sidequest Stars
Get All (13) Silver Sidequest Stars
Get All (13) Bronze Sidequest Stars
Defeat the twin Deaemon
Defeat Dr. Insano in his castle
Upgrade the Green Ring
Upgrade the Red Ring
Upgrade the Blue Ring
Defeat a real Guardian of Power
Learn 180 Powers
Buy the air baloon
Bring back home all Dwarfs
Bring back home 3 Dwarfs
Buy the ship
Beat Doom
Defeat Robot Judas
Meet Dr. Insano 3 times
Get 8 Gold Sidequest Stars
Get 8 Silver Sidequest Stars
Meet Dr. Insano
Upgrade the Yellow Ring
Buy the boat
Reach Chapter 7
Learn the Ultimate Secret Technique
Find 20 Secrets
Get 8 Bronze Sidequest Stars
Reach Chapter 6
Defeat Richard
Defeat Richard's Army
Reach Chapter 5
Get 4 Gold Sidequest Stars
Learn 90 Powers
Reach Chapter 4
Find 10 Secrets
Reach Chapetr 3
Learn 45 Powers
Get 4 Silver Sidequest Stars
Get 4 Bronze Sidequest Stars
Learn 10 Powers
Reach Chapter 2
Find the chest full of nothing.
Thanks for playing the game