1. With a mixer, beat 3/4 cup butter and sugar until well blended. Add eggs, 1 at a time, beating to blend well with each addition. Beat in lemon peel and anise extract.
2. Mix 1 1/4 cups flour with baking powder and salt. Add the flour mixture to batter, mixing slowly to incorporate dry ingredients, then beat at medium speed until well blended.
3. Scrape batter into a buttered and flour-dusted 4 1/2- by 8-inch loaf pan. Spread level.
4. Bake in a 325° oven until cake is golden and just begins to pull from pan sides, about 1 hour and 10 minutes. Cool in pan on a rack about 15 minutes. Invert cake onto a plate and serve warm or cool, cut into thin slices.