Here is the full list of all 39 Spire of Glory achievements.
Defeat the Spire.
Beat the game having upgraded an item at max lvl.
Upgrade an item.
Max upgrade an item.
Succumb to the Spire's challenges.
Have 50 crystals at one time.
Have 100 crystals at one time.
Have 150 crystals at one time.
Have 200 crystals at one time.
Last more than 60 seconds in battle.
Last more than 90 seconds in battle.
Last more than 120 seconds in battle.
Last more than 150 seconds in battle.
Have at least 60 armor and 100 Magic resist.
Have at least 100 armor and 200 Magic resist.
Have at least 200 armor and 400 Magic resist.
Win without the original princess form.
Win with only princesses.
Deal more than 500 damage in one hit.
Deal more than 1000 damage in one hit.
Reach max upgrade level on the shop.
Acquire the maximum amount of princesses.
Discover the hidden effect of the forbidden pieces.
Master the power of the forbidden creature.
Discover the hidden power of the twin axes.
Master the power of the twin axes.
Discover the hidden power of the earrings.
Master the power of the earrings.
Get 3 consecutive wins.
Get 5 consecutive wins.
Win with only 2 Heroes.
Win with only 1 Hero.
Win using only common items.
Win using only uncommon items.
Win using only rare items.
Win using only epic items.
Win using only legendary items.
Master all items.
Win in less than 17 rooms.