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