Here is the full list of all 51 KATANA KAMI: A Way of the Samurai Story trophies - there are 38 bronze, 10 silver, 2 gold and 1 platinum.
Collect all other trophies.
Marry Nanami.
Rescue Nanami from the debt collector.
Build a gold Dojima statue.
Get Nanami taken away by the debt collector again.
Learn your first skill.
Learn all Upper Stance skills.
Learn all Middle Stance skills.
Learn all Lower Stance skills.
Learn all One-hand Stance skills.
Learn all Side Stance skills.
Learn all Iai Stance skills.
Learn all Ninja Stance skills.
Defeat 100 enemies with Bow Stance.
Defeat 100 enemies with Unarmed Stance.
Defeat an enemy for the first time.
Get a 100-hit combo.
Defeat an enemy while prostrated.
Defeat 1000 enemies in Katana Time.
Defeat 1000 enemies with Kiwami.
Forge a sword for the first time.
Give a sword a title for the first time.
Maximize Dojima's skill.
Ship a sword.
Create a sword.
Unlock all sword blueprints.
Collect 100 types of swords.
Expand your wardrobe and closet.
Unlock the Booming Business state.
Advance the war between factions.
Pay one installment.
Hire a bodyguard for the first time.
Hire a bodyguard 100 times.
Hire Sensei.
Complete a request for the first time.
Complete 100 requests.
Obtain all nicknames.
Obtain all appearances.
Move a total of 100 km.
Take back your belongings from the Tsukumogami.
Discover the Forest Labyrinth.
Clear the Forest Labyrinth.
Discover the Phantom City.
Clear the Phantom City.
Discover Mahoroba.
Clear Mahoroba.
Defeat Orochi.
Defeat Gamuran.
Defeat Kinugawa.
Defeat Lord Datara.
Discover Dojima's secret.