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