Stir goat cheese, cream cheese, sherry, salt, and pepper together in a small bowl. Wrap cheese mixture in plastic wrap and roll to shape into a log. Chill in freezer until slightly firm, about 10 minutes.
Meanwhile, mix paprika and cumin together in a small dish. Mix parsley and dill together in a separate small dish.
Remove goat cheese log from freezer, unwrap, and slice in half. Spread paprika-cumin mixture on 1 sheet of parchment paper and parsley-dill mixture on another sheet. Roll 1 log in paprika-cumin and 1 in parsley-dill. Serve with toasted pita and crostini.