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