Here is the full list of all 20 Armed with Wings: Rearmed achievements.
Unlock all Equipment
Get a x50 Combo
Reach Wave 10 in Survival
Reach Wave 5 in Survival
Complete the Story in 60 minutes or less
Collect all Relics
Complete the Story with Vandheer Lorde
Complete Level 40 without being Revived
Collect 1000 Orbs
Reach a Triple Flag Post
Get a x25 Combo
Collect 500 Orbs
Reach a Double Flag Post
Collect 100 Orbs
Get a x10 Combo
Reach a Single Flag Post
Complete the Story in Futile Difficulty
Complete the Story with the Katana
Complete the Story with the Katana on Futile
Reach Wave 20 in Survival