Here is the full list of all 50 Naruto: Ultimate Ninja Storm trophies - there are 37 bronze, 11 silver, 1 gold and 1 platinum.
Acquired all the trophies.
Acquired over 50% of all Ultimate Jutsu Movies.
Acquired eight or more Support Ninjutsu Books.
Acquired over 30% of all Ultimate Jutsu Movies.
Completed over 50% of the missions.
Completed over 40% of the missions.
Acquired over 50% of all Figures.
Won a Jutsu Clash.
Finished an opponent with an additional strike after downing them.
Finished an opponent with an item.
Finished an opponent with an Ultimate Impact.
Acquired an Ultimate Jutsu Movie.
Completed the Chasing Sasuke Arc.
Completed over 30% of the missions.
Cleared 42 or more rings with one Naruto Cannon.
Cleared 24 or more rings with one Naruto Cannon.
Acquired over 30% of all Figures.
Acquired over 50% of all music files.
Acquired over 30% of all music files.
Acquired a music file.
Completed the Tsunade Search Arc.
Destroyed a door with a Rasengan.
Cleared 12 or more rings with one Naruto Cannon.
Interrupted an opponent's Ultimate Jutsu.
Completed over 20% of the missions.
Finished an opponent with a Support Combo.
Finished off an opponent from a wall.
Destroyed 10 or more objects with one shuriken toss.
Destroyed five or more objects with one shuriken toss.
Six or more different items were added to the shop.
A new item was added to the shop.
Completed the Leaf Destruction Arc.
Acquired a Figure.
Finished an opponent with a throw.
Created 10 or more different Ichiraku Ramens.
Acquired 14 or more Ninja Handbooks.
Performed six or more successful rope actions.
Acquired a Support Ninjutsu Book.
Attacked an opponent with a Supportive Extra Hit.
Completed over 10% of the missions.
Completed the Chunin Exam Arc.
Finished an opponent while Awakened.
Completed the Genin Training Arc.
Prevented an opponent's Extra Hit.
Finished an opponent with Support Ninjutsu.
Created a new Ichiraku Ramen.
Acquired a Ninja Handbook.
Finished an opponent with Ninjutsu.
Finished an opponent with an Ultimate Jutsu with the Storm Gauge at MAX.
Finished an opponent with an Ultimate Jutsu.