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