The Expansion Pack 3 Title update for Minecraft: PlayStation 4 Edition has 4 trophies - 1 bronze, 2 silver and 1 gold.
Respawn the Enderdragon.
Collect Dragon's Breath in a Glass Bottle.
Use an Elytra to fly through a 1 by 1 gap while moving faster than 40 m/s.
Dry a Sponge in a Furnace.