The Aarhus Library in Denmark is incredibly innovative. Their focus on the user is exemplary.
Here's a video... http://www.youtube.com/watch?v=Fu7XciJi6xY and another
http://www.youtube.com/watch?v=9KsFrkxjtj8
ImaginOn http://www.imaginon.org A collaborative venture of the Public Library of Charlotte & Mecklenburg County and the Children's Theatre of Charlotte. With cutting-edge services and library collections, award-winning professional theatre and innovative education programs, ImaginOn brings stories to life through extraordinary experiences that challenge, inspire and excite young minds.
ImaginOnThe Morrill Public Library in Hiawatha, KS has an amazing Center for Lifelong Learning. In this video, Cathy Newland (former director of the library) talks about the Center. http://www.youtube.com/watch?v=o9Hvn5sPg8U
KC Science, Inc is another innovative project, which is a collaborative effort of many organizations in KC, including the Johnson County Library System. http://www.kcscienceinc.org/