Here is the full list of all 13 Press Your Luck trophies - there are 7 bronze and 6 silver.
Win an online game
Win the 4th show
Win the 8th show
Win the 12th show
Win the 16th show
Create a complete custom character
In an online game, pass your spins to an opponent who gets a Whammy on your passed spins
Host 10 public games
Win 20 online games
Win the 20th show
Win a show with no Whammy
Win an online game by buzzing first and answering the correct answer to every question
Win over $60,000 in one show