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.
Collected 777G.
Maxed out the Giga Sword.
Acquired all the swords.
Maxed out the LIFE bar.
Visited all maps.
Maxed out the MAGIC bar.
Cleared the game in FROM mode.
Cleared the game with the princess restored.
Booked all monsters in the Bestiary.
Acquired the Hero Shield.
Spent the night in Raejack with the princess.
The princess was restored to her true form.
You found Ai.
Acquired the Hero Sword.
You found Sue.
Cleared the Spelunker event.
Cleared Spelunker mode.
Defeated Onyx without taking damage.
Defeated Fuelle without taking damage.
Survived Spelunker mode for 10 hours.
Defeated Kraken without taking damage.
Defeated Giga Golem without taking damage.
Defeated Queen Bee without taking damage.
Defeated Eelagon without taking damage.
Booked Onyx in the Bestiary.
Booked Fuelle in the Bestiary.
Cleared the game without restoring the princess.
Acquired a sword from King Block.
Booked Dark Knight in the Bestiary.
Booked Kraken in the Bestiary.
Booked Dragon in the Bestiary.
Booked Queen Bee in the Bestiary.
Booked Eelagon in the Bestiary.
Booked Giga Golem in the Bestiary.
Defeated Dark Knight without taking damage.
Acquired the Holy Sword.
Defeated Dragon without taking damage.
Defeated a foe with a bomb.
Guarded an attack.
Booked a monster in the Bestiary.
Played the game for five hours.
Defeated a foe with a bow.
Used a Shader Magic.
Made your sword stronger at the blacksmith.
Acquired the Ancient Sword.
Defeated a Guardian.
Took a snapshot.
Defeated a foe with a sword.
Made a character model.