Here is the full list of all 52 Tokyo Xanadu trophies - there are 40 bronze, 9 silver, 2 gold and 1 platinum.
Clear chapter 1 -ECLIPSE-
Obtain an S rank in any stage.
Wander into the mysterious place of wonder.
Obtain all trophys.
Clear all stages with an S rank.
Max out Kou's "Wisdom, Courage, Virtue".
Obtain all information on battle page in NiAR.
Obtain all information on recipe page in NiAR.
Obtain all information on friend page in NiAR.
Obtain all information on book page in NiAR.
Open all treasure chests.
Obtain every single master core.
Clear the game on Nightmare difficulty.
Clear the game on Infinity difficulty.
Complete all side-quests.
Amass a 500,000 yen fortune.
Pick the most fortuitous...fortune.
Defeat 100 Greeds.
Defeat 1000 Greeds.
Defeat 2000 Greeds.
Use X-Drive 100 times.
Use X-Strike 100 times.
Use Strike Chain 50 times.
Defeat 500 foes with Elemental kills.
Defeat 500 foes with Critical hits.
Use Strike Chain 100 times.
Rack up 100 Aerial kills.
Inflict over 5000 points of damage.
Perform a 200+ hit combo.
Traverse 100,000 meters.
Get through a stage without taking any damage.
Qualify for the fast clear time bonus in any stage.
Forge an unbreakable bond with Asuka.
Forge an unbreakable bond with Sora.
Forge an unbreakable bond with Yuuki.
Forge an unbreakable bond with Shio.
Forge an unbreakable bond with Mitsuki.
Forge an unbreakable bond with Rion.
Forge an unbreakable bond with Shiori.
Forge an unbreakable bond with Ryouta.
Forge an unbreakable bond with Jun.
Forge an unbreakable bond with Towa.
Forge an unbreakable bond with Gorou.
Clear chapter 2 -GREED-
Clear chapter 3 -Word of God-
Clear chapter 4 -BLAZE: Flames of Memory-
Clear chapter 5 -Fading of Obscuring Fog-
Clear the intermission -The Coming of Summer-
Clear chapter 6 -Taking Flight-
Clear chapter 7 -Hollow Quake-
Clear final chaper -Thoughts of Tomorrow-
Clear epilouge -Dawn of a New Day-