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