PEAK badges (achievements)
PEAK hands out badges for climbing feats, discoveries and disasters. Here is the full list straight from the game, with the exact requirement for each one.

Participation Badge
Have a friend escape the island without you.
Trailblazer Badge
Climb past the TROPICS.
Alpinist Badge
Climb past the ALPINE.
Volcanology Badge
Climb past the CALDERA.
Bouldering Badge
Place 10 pitons.
Toxicology Badge
Restore 200 total poison by using items.
Foraging Badge
Eat 5 different berries in a single expedition.
Lone Wolf Badge
Escape the island in a solo expedition.
Balloon Badge
Escape the island without taking fall damage.
Leave No Trace Badge
Escape the island without placing anything on the mountain.
Hasty Badge
Escape the island in under an hour.
Naturalist Badge
Escape the island without eating any packaged food.
Gourmand Badge
Escape the island after cooking and eating a coconut half, a honeycomb, a yellow winterberry, and an egg.
Mycology Badge
Eat four different non-toxic mushrooms in a single expedition.
First Aid Badge
Heal your friends for 100 points of injury in a single expedition.
Survivalist Badge
Escape the island without ever losing consciousness.
Arborist Badge
Reach the top of a really big tree.
Mentorship Badge
Have a 1-on-1 with the Scoutmaster.
Knot Tying Badge
Place 100m of rope in a single expedition.
Emergency Preparedness Badge
Heal an unconscious friend with an item to save them from death.
High Altitude Badge
Climb 5000m total.
Bookworm Badge
Read the Scoutmaster’s final journal entry.
Endurance Badge
Climb 50m upwards without touching the ground.
Ultimate Badge
Catch a Flying Disc from 100m away.
Needlepoint Badge
Have a lot of cactuses stuck to you.
Aeronautics Badge
Achieve flight.
Resourcefulness Badge
Give in to your hunger.
Daredevil Badge
Shoot across the MESA canyon in a Scout Cannon.
Astronomy Badge
Look a little too closely at the blazing sun.
Bundled Up Badge
Climb past the ALPINE without ever having more than 20% Cold.
Advanced Mycology Badge
Try all 5 types of Shroomberry in a single expedition.
Disaster Response Badge
Pull an unconscious friend 30m with the Rescue Claw.
Calcium Intake Badge
Block 100 total damage with the Fortified Milk.
Competitive Eating Badge
Eat 3 Hot Dogs in 5 seconds or less.
Mycoacrobatics Badge
Bounce up 40m off a mushroom.
Cryptogastronomy Badge
Cook and eat a Mandrake.
Rule Zero Badge
Free the Scoutmaster's soul.
Exorcist Badge
Burn up the Big Ghost in the GLOOM.
Hang Gliding Badge
Fly 100m with the Glider without touching the ground.