Here is the full list of all 12 Knight Solitaire (EU) trophies - there are 7 bronze, 4 silver and 1 gold.
Complete all levels in Squire mode
Use the Shuffle bonus 50 times
Maximum points for 6 packs in Squire mode
Complete all levels in Knight mode
Use the Joker bonus 50 times
Maximum points for 1 pack in Knight mode
Buy 10 Mulligans
Use the Shuffle bonus 10 times
Use the Joker bonus 10 times
Get the maximum number of points on 3 levels in a row
Get the maximum number of points on 2 levels in a row
Get the maximum number of points on a level