Here is the full list of all 17 The Wandering Village achievements.
Reach a population of at least 500 villagers
Reach a population of at least 200 villagers
Build the Village Monument
Survive until day 100 without building any Air Wells
Get Onbu's heartrate to go above 6 bpm
Build the Survival Monument
Survive until day 100 without harvesting any Berries
Produce Black Pudding
Cut down every tree on Onbu’s back
Build the Onbu Monument
Survive until day 100 without building any Farms
Survive until day 100 while using the Onbu Feeding Trebuchet a maximum of 3 times
Pet, feed, heal and detox Onbu within one day
Lose a villager on a scavenging mission
Pet Onbu
Feed Onbu with the Onbu Feeding Trebuchet
Achieve 100% efficiency with a Berry Gatherer