Here is the full list of all 14 Dragons Online trophies - there are 11 bronze, 2 silver and 1 gold.
View a profile in chat
Speak in chat
Receive menu support reward
Customise your Dragon
Defeat a total of 100 Players and Enemies
Winning blow on a Player (PVP needs to be on for both players)
Winning blow on a Tripod
Winning blow on a Phoenix
Winning blow on a CaveWorm
Winning blow on a Fairy
Sacrificed a Sheep
Talk to all NPCs (Scientist, Orphanage, Doctor, Artist)
Claimed a Nest
Hatched a Baby Dragon from a nest