Here is the full list of all 36 Class of Heroes 2G trophies - there are 20 bronze, 10 silver, 5 gold and 1 platinum.
Completed all school trophies
Obliterate 50,000 Monsters
Experience Reincarnation
Kill 10,000 Monsters
Open Every Treasure Chest
Explore All Labyrinths Completely
Clear Additional Quests & Defeat Boss on 10th Floor of the Dark Gate
Bring an NPC into a Exploration Party
Challenge a God and Win
Take Payne Out and Save the World
Save the Hostages
Collect More Than 500 Items
Retake Yamhath
Retake Lanzlet
Liberate Mashlenia
Explore at least 50% of Tohath Labyrinth
Amass 1,000,000G
Visit the Other World
Participate in Martial Arts Tournament
Clear up Coppa's Issues
Submit to Practical Exam 2
Participate in the Culture Festival
Take Practical Exam 1
Participate in Sports Festival
Amass 100,000G
Create a Student in Every Class
Succeed in Drive to Panini
Arrive at Bruschetta Academy
Explore all of Beginner's Brush
Kill 500 Monsters
Donate in the Clinic
Assign More Than 40 Bonus Points (BP)
Create One or More Students of Every Race
Use a Party Attack
Experience Being Mostly Dead
Complete Crostini Academy Campus Tour