Here is the full list of all 8 Dragon's Lair trophies - there are 3 bronze, 3 silver and 2 gold.
Beat the game on hard, no move guide, 3 lives mode.
Beat the game on easy, no move guide, 5 lives mode.
Beat the game in 3 lives, any mode.
Beat the game on hard, arcade mode.
Get the highest possible score (427,469).
Beat the game without dying, any mode except infinite lives.
Beat the game on any mode.
Never make a correct move in a new game.