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