Here is a recipe for Star Anise Lace Cookies from Gourmet magazine (sniff, sniff). It's a super easy, kind of odd recipe, but they do come out super thin and almost lacy (in a circular lace pattern). It's not at all a typical cookie and I think it would be really good as an accompaniment with a fruity ice-cream. My one complaint is that it 'feels' very buttery and I'm tempted to reduce the amount of butter from 5 tablespoons to 4 next time around. Still, taste-wise these are fantastic cookies and probably will add a good bit of originality/creativity to a traditional cookie spread.