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