Annie Sibley O'Brien is a local children's book author and illustrator, and a provocative, brave and inspiring thinker / communicator around issues of white privilege, race, and identity. Her blog is wonderful and worth a look.
She provided a link to another fabulous resource - a bibliography of books that include illustrations of children doing things kids do -- these are not books about race but books that include images of kids from all kinds of racial and ethnic backgrounds.
(ASO also suggests these blogs: Mitali Perkins, Amy Bowllan, The Brown Bookshelf, Neesha Meminger, Zetta Elliott)
Kids also need the chance to learn directly about race and racism, and there are a lot of gorgeous books that provide opportunities for conversation. A few:
The Color of Us by Karen Katz /activity ideas
Although old (from 2002, mostly) Cynthia Leitch Smith provides some great links, and has a unique emphasis on transracial adoption and multiracial identities/families.
-- Kids are up, gotta stop, let's grow this list through comments!