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