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