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