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Combine unsweetened chocolate, 3/4 cups semisweet chocolate morsels and the espresso granules in a heavy saucepan.
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Cook over low heat, stirring, until chocolate melts.
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Cool.
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Beat butter and sugar at medium speed until creamy.
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Add eggs and vanilla and beat well.
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Stir melted chocolate mixture into the egg mixture, then gradually stir in flour.
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Stir in remaining 1 cup semisweet chocolate morsels, and the white and milk chocolate morsels.
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Cover and chill at least 1 hour.
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Preheat oven to 375 F.
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Shape dough into 1-inch balls.
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Place 2 inches apart on an ungreased cookie sheet and flatten slightly with the bottom of a glass or use a cookie stamp (dip in flour to prevent sticking).
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Bake for 10 to 12 minutes.
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Cool for 15 to 20 seconds on baking sheet then move to rack to finish cooling.