The biggest recycling challenge for the world's largest coffee shop chain is convincing mills to accept more paper coffee cups, which most places put in landfill and a handful -- including Seattle and Bellingham-- recycle or compost. Starbucks' goal is to have all the communities where it owns shops communities be able to recycle coffee cups by 2015 -- a very big deal for a company that goes through 3 billion paper cups (and 1 billion plastic ones) a year.