Here is the full list of all 13 Puzzle by Nikoli V Sudoku trophies - there are 11 bronze, 1 silver and 1 gold.
Cleared all "Sudoku" puzzles
Cleared 40 "Sudoku" puzzles
Total play time exceeded 24 hours
Cleared 30 "Sudoku" puzzles
Paused a puzzle more than 50 times
Quit a puzzle more than 50 times
Cleared 20 "Sudoku" puzzles
Cleared 15 puzzles in a row on shuffle
Cleared 10 "Sudoku" puzzles
Used the redo function more than 100 times
Used the undo function more than 100 times
Read all game guides
Used the delete function more than 100 times