Here is the full list of all 14 Doki-Doki Universe trophies - there are 11 bronze, 2 silver and 1 gold.
Unlock the story ending.
Collect 250 summonables.
Help Scarecrow throw a party for Persephone.
Help Cactus get a dolphin.
Knock 30 characters down with World Tilts!
Greet 50 different characters.
Discover all the preferences of a single character.
Blow kisses to 20 different characters.
Complete 25 quiz asteroids.
Get your quiz evaluation from Dr. Therapist.
Read a letter from any character.
Use up dust bunnies (Reach zero bunnies).
Place a decoration on your home planet.
Get green checks for all goals and presents on all planets in the full game.