Beat shortening at medium speed of an electric mixer until creamy; gradually add sugar, beating well. Add molasses, vinegar, and egg; beat well.
Combine flour and next 5 ingredients; gradually add to shortening mixture, beating well. Shape dough into a ball; wrap in plastic wrap, and chill 8 hours.
Divide dough in half. Work with 1 portion of dough at a time, storing remainder in refrigerator. Roll each portion of dough to 1/8" thickness on a well-floured surface. Cut with a 4" gingerbread man cookie cutter; place on ungreased cookie sheets, using a floured spatula to lift cookies from work surface. Press currants into dough to form eyes, nose, and mouth. Press 3 cinnamon candies into dough for buttons.
Bake at 375° for 7 minutes or until lightly browned. Cool on cookie sheets 2 minutes; remove to wire racks, and cool completely.