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
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
Open Every Treasure Chest
Take Payne Out and Save the World
Save the Hostages
Kill 10,000 Monsters
Retake Yamhath
Amass 1,000,000G
Retake Lanzlet
Liberate Mashlenia
Explore at least 50% of Tohath Labyrinth
Collect More Than 500 Items
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
Amass 100,000G
Participate in Sports Festival
Create a Student in Every Class
Arrive at Bruschetta Academy
Assign More Than 40 Bonus Points (BP)
Succeed in Drive to Panini
Create One or More Students of Every Race
Kill 500 Monsters
Explore all of Beginner's Brush
Use a Party Attack
Complete Crostini Academy Campus Tour
Experience Being Mostly Dead
Donate in the Clinic