Here is the full list of all 86 Astral Ascent achievements.
Save all Yalees from the Kingdom
Defeat Cancer
Use your Signature Spell 500 times
Unlock the Path of Destiny
Face The Master
Defeat Aquarius
Defeat Sculptor
Equip an Astral Aura
Perfect 30 Fight Rooms
Defeat Draco
Unlock Calie
Unlock Octave
Unlock Oloon
Obtain 1000 Quartz in a run
Upgrade a spell to level 10
Equip a Zodiac Spell in The Moon Room
Equip an Astral Gambit
Defeat Pisces
Defeat Aries
Defeat Pegasus
Defeat Lupus
Find the hidden nest in the Garden
Unlock Papa Yalee
Unlock Barbecue
Use 200 Stars in a run
Reach the Event Horizon
Defeat Libra
Defeat Hydra
Equip 4 affinity gambits on a spell
Change a Spell affinity in The Sun Room
Reach the Crimson Highlands
Defeat Scorpio
Defeat Monoceros
Reach 1000 damage in one combo
Summon a Zodiac to support you
Defeat Sagittarius
Meet Chamaeleon
Start 30 escape attempts
Unlock Sire Bapy
Success a Zodiac Challenge
Reach the Coral Archipelago
Defeat Leo
Defeat Virgo
Defeat Capricorn
Unlock the Peddler
Reach the Red Barrens
Defeat Taurus
Unlock Zim-Zim
Reach the Garden
Reach level 12
Buy all items from an Itinerant Peddler
Obtain 5 Echoes in a run
Open 150 Key Chests
Your Zodiac sign helps you 3 times
Trigger 12 dialogues on Benches
8 stones of each type equipped simultaneously
Captured 5 Astral Spirits
Unlock all Zim-Zim abilities
Unlock all Auras from Barbecue
Unlock all spells from the Peddler
Unlock all Oloon colors
Collect all memory fragments for Papa Yalee
Complete 50% of Sire Bapy’s achievements
Defeat Gemini
Defeat Taurus at Destiny Level 6+
Defeat Virgo at Destiny Level 6+
Defeat Capricorn at Destiny Level 6+
Defeat Aries at Destiny Level 6+
Defeat Sagittarius at Destiny Level 6+
Defeat Leo at Destiny Level 6+
Defeat Pisces at Destiny Level 6+
Defeat Scorpio at Destiny Level 6+
Defeat Cancer at Destiny Level 6+
Defeat Libra at Destiny Level 6+
Defeat Aquarius at Destiny Level 6+
Defeat Gemini at Destiny Level 6+
Defeat The Master at Destiny Level 6+
Defeat 30 Star Guardians
Collect 100 Destiny Fragments
Activate all abilities of the Void Catalyst at once
Upgrade a spell to level 15
Success an escape at Destiny Level 15+
Unlock Ayla’s ending
Unlock Kiran’s ending
Unlock Octave’s ending
Unlock Calie’s ending