Here is the full list of all 96 Project Hunt achievements.
Hunt 1 animal
Hunt 10 animals
Hunt 30 animals
Hunt 50 animals
Hunt 100 animals
Hunt 300 animals
Hunt 500 animals
Hunt 1,000 animals
Hunt 3,000 animals
Hunt 5,000 animals
Hunt 10,000 animals
Pick up 1 Mushroom
Pick up 10 mushrooms
Pick up 50 mushrooms
Pick up 100 mushrooms
Pick up 500 mushrooms
Pick up 1000 mushrooms
Pick up 5000 mushrooms
10+ hours of play
30+ hours of play
50+ hours of play
100+ hours of play
Use binoculars 100 times or more
Jump more than 100 times
Hunt animals with one bullet( 100+ )
Shoot more than 100 shots
Hit a target at a distance of 50m or more
Hit a target at a distance of 100m or more
Hit a target at a distance of 150m or more
Hit a target at a distance of 200m or more
Hit a target at a distance of 300m or more
Hit a target at a distance of 400m or more
Hit a target at a distance of 500m or more
Hunt animals using melee weapons
Use an animal tracker
Die from being attacked by an animal
First snake hunt!
Hunt 10 snakes
Double-click a tent icon on the mini-map
Pick up 5 berries
Pick up 50 berries
Pick up 500 berries
Pick up 5,000 berries
You have completed the hunting objective
Installed a trophy
Installed a trophy with quality 30 or higher
Installed a trophy with quality 60 or higher
Installed a trophy with quality 90 or higher
Hunting a single crow
Hunt 10 crows
Hunt 100 crows
Hunt 1,000 crows
Hunt 1 albino animal
Hunt 10 albino animals
Hunt 30 albino animals
Installed an albino trophy
Upgrade your barn