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