Here is the full list of all 38 15in1 Solitaire trophies - there are 18 bronze, 17 silver, 2 gold and 1 platinum.
Unlock all the trophies
Win a single Klondike game
Win a single Scorpion game
Win a single Russian game
Win a single Pyramid game
Win a single Freecell game
Win a single Spiderette game
Win a single Yucon game
Win a single Canfield game
Win a single Golf game
Win a single Baker's Dozen game
Win a single Single Rail game
Win a single Tam O'Shanter game
Win a single Achilles game
Win a single Squadron game
Win a single Josephine game
Win a Klondike game 5 times
Win a Scorpion game 5 times
Win a Russian game 5 times
Win a Pyramid game 5 times
Win a Freecell game 5 times
Win a Spiderette game 5 times
Win a Yucon game 5 times
Win a Canfield game 5 times
Win a Golf game 5 times
Win a Baker's Dozen game 5 times
Win a Single Rail game 5 times
Win a Tam O'Shanter game 5 times
Win a Achilles game 5 times
Win a Squadron game 5 times
Win a Josephine game 5 times
Lose 10 times
Play 25 games
Play 50 games
Play 100 games
Win 25 games
Win 50 games
Win 100 games