Here is the full list of all 51 3D Dot Game Heroes trophies - there are 42 bronze, 5 silver, 3 gold and 1 platinum.
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Cleared the game without dying.
Survived Spelunker mode for 10 hours.
Cleared Spelunker mode.
Acquired all the swords.
Collected 777G.
Defeated Onyx without taking damage.
Made a character model.
Cleared the game in FROM mode.
Cleared the game with the princess restored.
Defeated Fuelle without taking damage.
Booked all monsters in the Bestiary.
Booked Onyx in the Bestiary.
Booked Fuelle in the Bestiary.
Maxed out the Giga Sword.
Maxed out the LIFE bar.
Took a snapshot.
Booked Dark Knight in the Bestiary.
Maxed out the MAGIC bar.
Defeated Giga Golem without taking damage.
Defeated Dragon without taking damage.
Booked Dragon in the Bestiary.
Booked Kraken in the Bestiary.
Cleared the Spelunker event.
Spent the night in Raejack with the princess.
The princess was restored to her true form.
You found Ai.
Defeated Eelagon without taking damage.
Defeated a foe with a bow.
Defeated a foe with a bomb.
Defeated Queen Bee without taking damage.
Cleared the game without restoring the princess.
Visited all maps.
Defeated Kraken without taking damage.
Acquired the Hero Shield.
Defeated Dark Knight without taking damage.
Acquired the Hero Sword.
You found Sue.
Booked Queen Bee in the Bestiary.
Booked Eelagon in the Bestiary.
Booked Giga Golem in the Bestiary.
Booked a monster in the Bestiary.
Made your sword stronger at the blacksmith.
Acquired a sword from King Block.
Acquired the Holy Sword.
Guarded an attack.
Played the game for five hours.
Used a Shader Magic.
Acquired the Ancient Sword.
Defeated a Guardian.
Defeated a foe with a sword.