Here is the full list of all 50 NARUTO: Ultimate Ninja STORM achievements. It takes around 15-20 hours to unlock all of the achievements on Windows.
Destroyed five or more objects with one shuriken toss.
Completed over 10% of the missions.
A new item was added to the shop.
Completed the Genin Training Arc.
Attacked an opponent with a Supportive Extra Hit.
Acquired a Figure.
Performed six or more successful rope actions.
Finished an opponent with Ninjutsu.
Created a new Ichiraku Ramen.
Acquired a Ninja Handbook.
Acquired a Support Ninjutsu Book.
Finished an opponent with an Ultimate Jutsu.
Interrupted an opponent's Ultimate Jutsu.
Unlocked all the achievements.
Completed the Chunin Exam Arc.
Completed the Leaf Destruction Arc.
Completed the Tsunade Search Arc.
Completed the Chasing Sasuke Arc.
Completed over 20% of the missions.
Completed over 30% of the missions.
Completed over 40% of the missions.
Completed over 50% of the missions.
Six or more different items were added to the shop.
Acquired eight or more Support Ninjutsu Books.
Acquired 14 or more Ninja Handbooks.
Created 10 or more different Ichiraku Ramens.
Acquired over 30% of all Figures.
Acquired over 50% of all Figures.
Acquired an Ultimate Jutsu Movie.
Acquired over 30% of all Ultimate Jutsu Movies.
Acquired over 50% of all Ultimate Jutsu Movies.
Acquired a music file.
Acquired over 30% of all music files.
Acquired over 50% of all music files.
Destroyed a door with a Rasengan.
Destroyed 10 or more objects with one shuriken toss.
Cleared 12 or more rings with one Naruto Cannon.
Cleared 24 or more rings with one Naruto Cannon.
Cleared 42 or more rings with one Naruto Cannon.
Finished an opponent with an item.
Finished an opponent with a Support Combo.
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 Impact.
Finished an opponent with a throw.
Finished an opponent with an additional strike after downing them.
Finished an opponent while Awakened.
Prevented an opponent's Extra Hit.
Finished off an opponent from a wall.
Won a Jutsu Clash.