Here is the full list of all 55 Tokyo Xanadu eX achievements.
Obtain all achievements.
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.
Open all treasure chests.
Forge an unbreakable bond with Jun.
Forge an unbreakable bond with Ryouta.
Forge an unbreakable bond with Yuuki.
Forge an unbreakable bond with Shio.
Obtain all information on friend page in NiAR.
Forge an unbreakable bond with Gorou.
Use X-Drive 100 times.
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-
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 Sora.
Forge an unbreakable bond with Towa.
Forge an unbreakable bond with Shiori.
Forge an unbreakable bond with Mitsuki.
Forge an unbreakable bond with Rion.
Defeat 2000 Greeds.
Use EX Skill 300 times.
Clear chapter 7 -Hollow Quake-
Defeat 500 foes with Critical hits.
Use Strike Chain 50 times.
Amass a 500,000 yen fortune.
Fully furnish Kou's room.
Clear chapter 6 -Wing and a Prayer-
Clear the intermission -Coming of Summer-
Traverse 100,000 meters.
Defeat 1000 Greeds.
Chain Kill 100 times.
Inflict over 5000 points of damage.
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.
Defeat 500 foes with Elemental kills.
Clear chapter 4 -BLAZE: Firestorm of Memories-
Rack up 100 Aerial kills.
Clear chapter 3 -Word of God-
Pick the most fortuitous...fortune.
Perform a 200+ hit combo.
Clear chapter 2 -Mysteries-
Defeat 100 Greeds.
Obtain an S rank in any stage.
Clear chapter 1 -The Eclipse-
Wander into the mysterious place of wonder.