Here is the full list of all 13 Pure Chess trophies - there are 9 bronze, 3 silver and 1 gold.
Put an opponent in check in an exhibition game.
Win an exhibition game against the computer.
Complete all the tutorials.
Win a game of Play By Mail.
Deliver a check by two pieces at the same time.
Advance a pawn to the eighth rank in an offline game.
Perform a castling move on the queenside during any full game.
Perform an En Passant during any full game.
Capture 100 pieces.
Deliver checkmate where the king is blocked on both sides by his own rooks.
Complete Tournament mode on all three difficulties.
Solve 100 mate problems.
Achieve an ELO of 2500 or a Grandmaster Pure Chess rating.