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Preheat oven to 325°F. Line a large baking sheet with parchment paper.
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Sift first 3 ingredients into medium bowl. Using electric mixer, beat butter and sugar in large bowl to blend well. Beat in eggs one at a time. Mix in lemon peel, vanilla, and aniseed. Beat in flour mixture just until blended. Stir in cranberries and pistachios (dough will be sticky).
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Turn dough out onto a floured surface. Gather dough together; divide in half. Roll each half into 15-inch-long log (about 1 1/4 inches wide). Carefully transfer logs to prepared baking sheet, spacing 3 inches apart.
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Bake logs until almost firm to touch but still pale, about 25-28 minutes. Cool logs on baking sheet 10 minutes. Maintain oven temperature.
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Carefully transfer logs still on parchment to cutting board. Using serrated knife and gentle sawing motion, cut logs crosswise into generous 1/2-inch-thick slices. Place slices, 1 cut side down, on another baking sheet prepared with parchment paper. Bake until firm and pale golden, about 8-9 minutes per side. Transfer cookies to racks and cool.
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Now line the baking sheet with waxed paper. Stir chocolate in top of double boiler over barely simmering water just until smooth. Dip 1 end of each cookie into melted chocolate, tilting pan if necessary; shake off excess chocolate. Place cookies on prepared sheet. Chill until chocolate is firm, about 30 minutes.
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(Can be made 5 days ahead. Store airtight between sheets of waxed paper at room temperature.)