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