Here is the full list of all 52 Adventure Rush achievements.
Start a new adventure
Buy your first food
Buy your first Weapon
Hunt 10 Creatures
Hunt 100 Creatures
Hunt 500 Creatures
Hunt 1000 Creatures
Hunt 5000 Creatures
Eat 50 Foods
Eat 100 Foods
Eat 250 Foods
Eat 500 Foods
Eat 1000 Foods
Collect 1 Gold
Collect 1000 Gold
Collect 5000 Gold
Collect 10000 Gold
Destroy 50 Boxes
Destroy 100 Boxes
Destroy 250 Boxes
Destroy 500 Boxes
Destroy 1000 Boxes
Buy 10 Items
Buy 100 Items
Reach the Forest
Reach the Ruins
Reach the Spider Cave
Reach the Desert
Reach the Snowfall
Reach the Village
Reach the Swamp
Reach the Goblin Camp
Reach the Mistery Woods
Reach the Vulcan
Defeat the Treant
Defeat the Beholder
Defeat the Mother Spider
Defeat the Sand Worm
Defeat the Yeti
Defeat the Chimera
Defeat the Swamp Pillow
Defeat the Goblin Master
Defeat the Lich
Defeat the Dragon
Boost your speed
Boost your Vitality
Boost your power
Get a Pixie
Get a U.F.O
Get a Medicine Book
Get a Cullinary Book
Get a Hourglass