Here is the full list of all 51 NEO: The World Ends with You trophies - there are 40 bronze, 9 silver, 1 gold and 1 platinum.
Collected all graffiti.
Completed the Final Day of Week 1.
Completed the Final Day of Week 2.
Completed the Final Day of Week 3.
Completed Another Day.
Collected all Secret Reports.
Won your first battle.
Won an 8-reduction chain battle.
Won a 20-reduction chain battle.
Erased a group of Noise using a Killer Remix.
Landed enough Beatdrop Combos to boost your Groove above 200%.
Took down 1,500 enemies.
Took down 3,000 enemies.
Took down 6,000 enemies.
Took down every type of enemy.
Collected 80% of all enemy dossiers.
Reached VIP Level 5 with a brand.
Reached VIP Level 5 with 8 brands.
Reached VIP Level 5 with every brand.
Purchased every type of fashion item.
Exceeded 100% Fullness.
Became a restaurant regular.
Became a regular at 8 restaurants.
Became a regular at every restaurant.
Ordered one of every food item.
Wore a full outfit.
Wore a full outfit using a single brand.
Wore a party's worth of full outfits.
Unlocked all of a full outfit's abilities.
Wore a full outfit of clothing whose abilities all require over 100 Style.
Possessed ￥999,999.
Reached Level 100.
Mastered one type of pin.
Mastered 10 types of pins.
Mastered 30 types of pins.
Mastered 50 types of pins.
Mastered 100 types of pins.
Mastered 200 types of pins.
Mastered 300 types of pins.
Equipped a 6-pin set.
Collected all pins.
Evolved a pin.
Collected all CDs.
Earned gold medals in 15 Dive missions.
Erased all Pig Noise.
Completed all Remind images.
Earned all Scramble Slam rewards.
Visited all areas of Shibuya.
Connected your entire social network.
Collected all social network rewards.
Completed the Final Time Trial.