Here is the full list of all 45 Digimon World: Next Order trophies - there are 30 bronze, 11 silver, 3 gold and 1 platinum.
Acquired all trophies
Completed DigiCards
Maxed out Tamer level
Raised 200 types of Digimon
Maxed out grades on all facilities as builder
Partner reborn as DigiEgg 20 times
Won all Colosseum competitions
Raised 100 types of Digimon
Maxed out city's Prosperity
Cleared all extra dungeons
Acquired over 1,000,000 bits
Partner reached age 20
Defeated Armageddemon
Cleared Chapter Four
Prosperity at level 100
Cleared Chapter Three
First DNA Digivolution
Maximum value for DigiFriend
Won 300 battles
Raised 50 types of Digimon
Inflicted 9,999 damage in one attack
Cleared Chapter Two
Acquired over 100,000 bits
Prosperity at level 50
First Colosseum victory
First Digivolution to Mega
Cleared Chapter One
First time fleeing from a fight
First camp
All skills for Partner Digimon at 1,000
First fish caught
Inflicted 1,000 damage in one attack
First king-sized foe defeated
First training mistake
First Digivolution to Ultimate
Maximum value for Bond
First Digivolution to Champion
First Tamer level
First materials acquired
First food ingredient item picked up
Prosperity at level 1
Finished a battle with no damage
First Digivolution to Rookie
First training
First Partner Digimon reborn as DigiEgg