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