Here is the full list of all 41 Deception IV: Blood Ties trophies - there are 22 bronze, 15 silver, 3 gold and 1 platinum.
Acquire all trophies.
Earn at least 999,999 Sadistic Exp.
Earn at least 999,999 Humiliating Exp.
Earn at least 999,999 Elaborate Exp.
Clear all the Missions.
Kill a total of 1,000 enemies.
Upgrade all traps.
Acquire all traps.
Earn more than 700,000 Warl in total.
Watch all story endings.
Fulfill all Daemon Requests.
Complete the Enemy List.
Earn more than 2,000,000 Ark in total.
Defeat all the enemy characters which appear in Story Mode.
Use all stage traps.
Clear Story Mode.
Perform an armor break on all characters who are wearing breakable armor.
Acquire all abilities.
Use all trapmobiles.
View all Deaths by Trapmobile.
Clear chapter nine in Story Mode.
Upload ten quests you have created in Cross-Quest mode.
Clear ten or more Missions.
Clear ten quests you have downloaded in Cross-Quest mode.
Clear a quest you have downloaded in Cross-Quest mode.
Upload a quest you have created in Cross-Quest mode.
Clear a Mission.
Clear chapter six in Story Mode.
Kill a total of 100 enemies.
Clear chapter three in Story Mode.
Capture an enemy.
Score a 15+ hit combo.
Score a 10+ hit combo.
Upload a replay.
Clear chapter one in Story Mode.
Perform an armor break.
View a Death by Trapmobile.
Use a trapmobile.
Use a stage trap.
Fulfill a Daemon Request.
Download a replay.