Some good sugar-free cookie recipes are AllRecipe.com's sugar-free sour cream linzer cookies and peanut butter cookies. Both recipes use artificial sweetener instead of sugar. The peanut butter cookies only require three ingredients, while the linzer cookies involve more steps and ingredients.
For the sour cream linzer cookies, mix together 1/2 cup butter and 1 cup artificial sweetener, then add an egg and 1 teaspoon vanilla gradually while beating. Combine 2 cups flour, 1/2 teaspoon baking powder and 1/4 teaspoon baking soda, then stir the dry ingredients into the wet ingredients. Mix in 2/3 cup ground almonds and 1/3 cup sour cream, split dough into two pieces and refrigerate for at least two hours. Roll out the dough until 1/8-inch thick and use a 2-inch round cookie cutter to cut out cookies. Use a 3/4-inch heart cookie cutter to cut out the center of half of the cookies.
Bake the cookies on an ungreased cookie sheet for six to eight minutes at 375 degrees Fahrenheit. Once cooled, spread 1/2 teaspoon raspberry jam on the whole cookies, and top with the cookies with the hearts.
To make the sugar-free peanut butter cookies, combine 2 cups creamy peanut butter, 2 cups artificial sweetener and two large eggs. Drop the dough onto a lightly greased baking sheet in tablespoon-sized balls, and bake for about eight minutes at 350 degrees Fahrenheit.