Here is the full list of all 55 Sengoku BASARA: Samurai Heroes trophies - there are 46 bronze, 6 silver, 2 gold and 1 platinum.
Acquire all Trophies in the game.
Complete Heroes' Story with Ieyasu Tokugawa.
Complete Heroes' Story with Mitsunari Ishida.
Complete Heroes' Story with Yoshitsugu Otani.
Complete Heroes' Story with Magoichi Saica.
Complete Heroes' Story with Kanbe Kuroda.
Complete Heroes' Story with Tsuruhime.
Complete Heroes' Story with Masamune Date.
Complete Heroes' Story with Yukimura Sanada.
Complete Heroes' Story with Keiji Maeda.
Complete Heroes' Story with Motochika Chosokabe.
Complete Heroes' Story with Motonari Mori.
Complete Heroes' Story with Yoshihiro Shimazu.
Complete Heroes' Story with Tadakatsu Honda.
Complete Heroes' Story with Kotaro Fuma.
Complete Heroes' Story with Oichi.
Complete Heroes' Story with Nobunaga Oda.
Complete Heroes' Story on Easy difficulty.
Complete Heroes' Story on Normal difficulty.
Complete Heroes' Story on Hard difficulty.
Complete Heroes' Story with all of the heroes.
Complete Heroes' Story while taking no damage in at least one battle.
Complete Heroes' Story while defeating less than 100 enemies.
Complete Heroes' Story while defeating over 5,000 enemies.
Complete Heroes' Story while performing a combo of 500 hits or higher.
Complete Heroes' Story on Hard while not equipping accessories on your default weapon.
Complete Heroes' Story while using only Normal Art combos in at least one battle.
Complete Heroes' Story while using only BASARA/Ultimate BASARA Arts in at least one battle.
Complete Heroes' Story while finishing every battle with BASARA/Ultimate BASARA Arts.
Have either "Lute" or "Koto" equipped for a whole battle.
Finish a battle with a BASARA/Ultimate BASARA Art.
Finish a battle with an Ultimate BASARA Art while your health is low (5,000 health points or less).
Finish a battle with a parry.
Perform a 500 hit combo for the first time.
Perform a 2,000 hit combo for the first time.
Perform a 10,000 hit combo for the first time.
Have "Support Beam" equipped for a whole battle.
Have "Hairs of Encouragement" equipped for a whole battle.
Have "Big Bucks Wallet" equipped for a whole battle.
Have "Sunglasses" equipped for a whole battle.
Finish a battle on horseback.
Finish a battle after eating 25 rice balls.
Finish a battle after drinking 15 drinks.
Acquire a combination of 24 or more hatena boxes and weapons from one battle.
Finish a battle without breaking a single basket.
Level up every hero to their maximum level.
Complete all 38 battles.
Play for 100 hours.
Complete 100 battles.
Reach a balance of 1,000,000 Zennys.
Acquire every weapon in the game.
KO every fugitive with a single hero.
Recruit every ally.
Acquire every material.
Acquire every accessory.