Here is the full list of all 28 Adventure in the Tower of Flight achievements.
Collect 100 gold feathers
Get the Boots of Much-Flight
Get the Sword of Much-Strength
Get the Bow of Much-Reach
Get the Shield of Much-Ping
Get the Armor of Much-Protection
Complete the game
Find all 13 health vials
Spend 2000 coins at shops
Spend 5000 coins at shops
Spend 20000 coins at shops
Don't buy anything from 10 stores
Purchase items from 30 stores
Collect 25,000 coins
Complete the game in hard mode
Complete the game in master mode
Complete the game in Nightmare mode
Collect 250,000 coins
Collect 1,000,000 coins
Collect 500 gold feathers
Collect 5,000 gold feathers
Collect 10,000 gold feathers
Purchase items from 100 stores
Don't buy anything from 30 stores
Talk to 50 people
Talk to 300 people
Kill 1000 monsters
Kill 10,000 monsters