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