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