Preheat over to 350F. In a large bowl, beat together the butter, peanut butter, sugars, eggs and vanilla with an electric mixer. Add the flour and baking soda and stir.
Working with balls, ropes and blobs or dough, create creatures and animals. Tiny bits of dough can be used to make eyes or spots, and stringy ropes can become whiskers.
Put critters on an ungreased cookie sheet and bake for 10 to 12 min, until lightly browned around the edges. Thin cookies will cook more quickly, so keep a close watch over them and remove critters from the pan as soon as they’re done. Allow to cool completely before devouring.