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