Preheat oven to 375°F.
In large bowl, cream butter and sugar with electric mixer until light and fluffy. Beat in egg, coconut, and vanilla. Combine flour and baking powder; gradually add to creamed mixture. Mix just until combined. Place dough in cookie press and with desired disk press cookies onto ungreased cookie sheet.
Bake 10-12 minutes or until edges are lightly browned. Cool on cookie sheet on rack 2 minutes; remove from cookie sheet and cool completely.
Makes about 6-7 dozen cookies.