Here is the full list of all 16 Dress-up Traveller achievements.
Get all the equipment
Defeat 500 enemies
Defeat tree demon
Defeat big spider
Reach level 25
Has 50000 coins
Has 20000 coins
Get honey
Defeat 150 enemies
Reach level 20
Reach level 15
Reach level 10
Defeat 50 enemies
Has 5000 coins
Reach level 1
Has 1000 coins