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