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