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