Here is the full list of all 48 Ninja Gaiden 3: Razor's Edge trophies - there are 38 bronze, 7 silver, 2 gold and 1 platinum.
Obtained all trophies.
Cleared the game on Ultimate Ninja difficulty.
Cleared 3 Ultimate Ninja Trials.
Unlocked all Ninja Skills for Hayabusa, Ayane, Momiji and Kasumi.
Defeated 1,000 enemies with Dual Swords.
Defeated 1,000 enemies with the Kusari-gama.
Defeated 1,000 enemies with the Lunar Staff.
Defeated 1,000 enemies with the Falcon's Talons.
Cleared all chapters with Ayane, Momiji, and Kasumi.
Defeated 1,000 enemies with the Heavenly Dragon.
Strengthened the Heavenly Dragon to Level 3.
Defeated 1000 enemies with the Shrouded Moon.
Strengthened the Shrouded Moon to Level 3.
Cleared the game on Master Ninja difficulty.
Defeated 1,000 enemies with the Fuma Kodachi.
Cleared 5 Leader Trials.
Cleared 5 Master Ninja Trials.
Cleared the game on Normal difficulty.
Cleared all Tests of Valor.
Obtained all Golden Scarabs.
Defeated 1,000 enemies with the Eclipse Scythe.
Cleared 10 Mentor Trials.
Cleared 10 Acolyte Trials.
Strengthened the Kusari-gama to Level 3.
Strengthened the Dual Swords to Level 3.
Cleared the game on Hard difficulty.
Strengthened the Lunar Staff to Level 3.
Finished Day 7.
Defeated 1,000 enemies with the Katana.
Strengthened the Falcon's Talons to Level 3.
Finished Day 6 - Ayane.
Strengthened the Fuma Kodachi to Level 3.
Finished Day 6.
Finished Day 5.
Achieved a 100-hit combo.
Strengthened the Katana to Level 3.
Strengthened the Eclipse Scythe to Level 3.
Finished Day 4.
Finished Day 3.
Finished Day 2 - Ayane.
Finished Day 2.
Successfully mastered the Izuna Drop technique.
Finished Day 1.
Successfully mastered a Ninpo spell.
Successfully mastered an Ultimate Technique.
Reached the maximum karma multiplier during Bloody Rage.
Successfully mastered the Steel on Bone technique.
Successfully mastered the Obliteration Technique.