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