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