Here is the full list of all 55 Tokyo Xanadu eX achievements.
Obtain all achievements.
Clear the game on Infinity difficulty.
Clear all stages with an S rank.
Clear the After Story on Calamity difficulty.
Open all treasure chests.
Obtain all information on battle page in NiAR.
Forge an unbreakable bond with Ryouta.
Forge an unbreakable bond with Jun.
Forge an unbreakable bond with Rion.
Forge an unbreakable bond with Shio.
Obtain all information on friend page in NiAR.
Forge an unbreakable bond with Gorou.
Forge an unbreakable bond with Towa.
Amass a 500,000 yen fortune.
Clear after story -From Here on Out-
Obtain all information on book page in NiAR.
Obtain all information on recipe page in NiAR.
Clear epilogue -A Legend is Born-
Complete all side-quests.
Clear final chapter -Endless Night-
Obtain every single master core.
Max out Kou's "Wisdom, Courage, Virtue".
Forge an unbreakable bond with Asuka.
Forge an unbreakable bond with Sora.
Forge an unbreakable bond with Shiori.
Forge an unbreakable bond with Mitsuki.
Forge an unbreakable bond with Yuuki.
Rack up 100 Aerial kills.
Clear chapter 7 -Hollow Quake-
Fully furnish Kou's room.
Use X-Drive 100 times.
Use EX Skill 300 times.
Clear chapter 6 -Wing and a Prayer-
Use X-Strike 100 times.
Defeat 2000 Greeds.
Use Strike Chain 50 times.
Clear the intermission -Coming of Summer-
Defeat 500 foes with Critical hits.
Chain Kill 100 times.
Traverse 100,000 meters.
Clear chapter 5 -Hidden in the Fog-
Get through a stage without taking any damage.
Defeat 1000 Greeds.
Inflict over 5000 points of damage.
Clear chapter 4 -BLAZE: Firestorm of Memories-
Defeat 500 foes with Elemental kills.
Clear chapter 3 -Word of God-
Pick the most fortuitous...fortune.
Clear chapter 2 -Mysteries-
Perform a 200+ hit combo.
Qualify for the fast clear time bonus in any stage.
Defeat 100 Greeds.
Clear chapter 1 -The Eclipse-
Obtain an S rank in any stage.
Wander into the mysterious place of wonder.