Here is the full list of all 55 Tokyo Xanadu eX+ trophies - there are 46 bronze, 6 silver, 2 gold and 1 platinum.
Obtain all trophies.
Clear the game on Infinity difficulty.
Get through a stage without taking any damage.
Clear all stages with an S rank.
Clear the After Story on Calamity difficulty.
Obtain all information on battle page in NiAR.
Open all treasure chests.
Forge an unbreakable bond with Asuka.
Forge an unbreakable bond with Shio.
Forge an unbreakable bond with Rion.
Forge an unbreakable bond with Jun.
Forge an unbreakable bond with Ryouta.
Forge an unbreakable bond with Towa.
Obtain all information on friend page in NiAR.
Amass a 500,000 yen fortune.
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 -Dawn of a New Day-
Perform a 200+ hit combo.
Use X-Strike 100 times.
Use EX Skill 300 times.
Complete all side-quests.
Obtain every single master core.
Max out Kou's "Wisdom, Courage, Virtue".
Clear final chapter -Thoughts of Tomorrow-
Use X-Drive 100 times.
Fully furnish Kou's room.
Pick the most fortuitous...fortune.
Forge an unbreakable bond with Gorou.
Forge an unbreakable bond with Mitsuki.
Forge an unbreakable bond with Yuuki.
Forge an unbreakable bond with Shiori.
Forge an unbreakable bond with Sora.
Use Strike Chain 50 times.
Clear chapter 7 -Hollow Quake-
Defeat 2000 Greeds.
Rack up 100 Aerial kills.
Clear chapter 6 -Taking Flight-
Traverse 100,000 meters.
Clear the intermission -The Coming of Summer-
Qualify for the fast clear time bonus in any stage.
Chain kill 100 times.
Clear chapter 5 -Fading of Obscuring Fog-
Defeat 1000 Greeds.
Clear chapter 4 -BLAZE: Flames of Memory-
Defeat 500 foes with Critical hits.
Defeat 500 foes with Elemental kills.
Clear chapter 3 -Word of God-
Inflict over 5000 points of damage.
Clear chapter 2 -GREED-
Defeat 100 Greeds.
Clear chapter 1 -ECLIPSE-
Obtain an S rank in any stage.
Wander into the mysterious place of wonder.