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