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