Here is the full list of all 22 The Capture Worlds achievements.
Start new adventure
Fall from the map
Finish the capture tutorial
Get your first Monster
Finish the combat tutorial
Enter the Tower portal
Capture your first monster
Get K.O.-ed as the character
Defeat your first Monster
Level up your character
Acquire a full team
Start farming for the first time
Craft your first recipe
Learn your first recipe
Craft your first food
Mine your first ore
Cut down your first Tree
Defeat your first boss-sized monster
Use a portal to travel to the next world
Return to your hometown from another world
Complete First Guild Quest
Get to world level 5