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