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