Here is the full list of all 38 Ginger: Beyond the Crystal achievements.
Buy all the shop’s accessories
Complete all the bonus areas
Interact with all the search points in the mansion
Build all the houses in Crater Peaks
Complete all secondary missions in all the towns
Complete all the missions in Bleepside Lake
Complete the main story
Defeat one of each enemy
Defeat one of each enemy in Bleepside Lake
Build all the houses in Bleepside Lake
Obtain 100% happiness in all the towns
Find the secret area
Obtain a score of at least 1500 points on the fair target practice minigame
Save the Bleepside Lake Gingerians
Rescue all the Gingerians from all the towns
Obtain 100% happiness in Bleepside Lake
Complete all the missions in Crater Peaks
Build one of each house
Obtain 100% happiness in Crater Peaks
Save the Crater Peaks Gingerians
Find 10 pieces of cloth
Build all the houses in Lowleen Town
Find 15 sacks
Open all the coffins in the hand mission
Defeat one of each enemy in Crater Peaks
Kill 50 frogs
Save the Lowleen Town Gingerians
Obtain 100% happiness in Lowleen Town
Find 25 stones
Complete all the missions in Lowleen Town
Find 50 pieces of wood
Complete the honey collection mission with 80 seconds to spare
Die 10 times
Defeat one of each enemy in Lowleen Town
Complete your first quest