Here is the full list of all 30 On My Own achievements.
Equip the bear jacket
Reached the summit of the Mountain Biome, completing the game
Encounter/survive an avalanche
Travel to all 4 biomes
Complete all journal entries for the Woodland Biome
Survive through all 4 seasons
Find a secret letter
Equip Jacket, Hat, and Backpack Upgrade
Catch 5 Fish
Equip a fox skin hat
Chop 200 trees down
Travel to 3 biomes
Survived a bear attack/encounter
Kill 5 foxes
Kill 5 animals with a bow
Create a fire without matches or coals
Catch 5 animals in snares or traps
Travel to a different camp
Travel to the winter world
Forge food from an edible plant
Craft an item to aid in survival
Start a fire to stay warm during the night
Chop down a tree
Complete all journal entries for the Woodland Lake Biome
Complete all journal entries for the Alpine Tundra Biome
Eat every edible food in the game
Craft every item in the game
Craft a bundle bow