Here is the full list of all 13 Pure Chess trophies - there are 9 bronze, 3 silver and 1 gold.
Deliver a check by two pieces at the same time.
Perform an En Passant during any full game.
Win a game online.
Complete all the tutorials.
Capture 100 pieces.
Advance a pawn to the eighth rank in an offline game.
Perform a castling move on the queenside during any full game.
Win an exhibition game against the computer.
Put an opponent in check in an exhibition game.
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.