Here is the full list of all 28 13 Cycles achievements.
Enter a cycle
Open Controls
Remove a glyph from a spell slot
Insert a glyph
Win as Aervade
Win as Qagan
Win as Nozu
Win as Ektoari
Unlock a glyph
Die to a Divinity Shard
Reach 13013 Wisdom
Stay airborne for 20 seconds
Unlock all 97 basic glyphs
Such grace and nobility...
Die during Taivio's event
Get locked in a block by Iertova
Spawn 87 crystal plants in a cycle
Get Wisdom from a crystal plant
Get interrupted by Evne while casting
Get interrupted by Iarva while casting
Get the Core Seto
Get the Core Oiso
Have Iarva dispel Infection
Have Ihavi destroy stuff around you
Die during Ilorei's event
Get the Core Qierva
Autoactivate Koruda's power within
What are you doing for that long?