Here is the full list of all 45 Digimon World: Next Order achievements.
First Colosseum victory
Acquired over 1,000,000 bits
Defeated Armageddemon
Won 300 battles
Cleared Chapter Four
Prosperity at level 100
Cleared Chapter Three
Cleared Chapter Two
Prosperity at level 50
First time fleeing from a fight
Partner reached age 20
Maxed out Tamer level
First camp
Cleared Chapter One
Acquired over 100,000 bits
Maximum value for DigiFriend
First Digivolution to Mega
First Digivolution to Ultimate
First king-sized foe defeated
Maximum value for Bond
Inflicted 9,999 damage in one attack
All skills for Partner Digimon at 1,000
First Digivolution to Champion
First fish caught
First Tamer level
Inflicted 1,000 damage in one attack
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 mistake
First training
First Partner Digimon reborn as DigiEgg
Acquired all achievements
Raised 50 types of Digimon
First DNA Digivolution
Maxed out grades on all facilities as builder
Won all Colosseum competitions
Raised 100 types of Digimon
Completed DigiCards
Partner reborn as DigiEgg 20 times
Cleared all extra dungeons
Raised 200 types of Digimon
Maxed out city's Prosperity