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