If anyone knows of additional contests for already published books (or galleys), please post a comment and I will add to the list.
Recent update in March 2022: PEN New England Awards removed (on hiatus indefinitely). Society of Midland Authors removed. Updated IPPY deadline. Fixed a couple of broken links.
BOOK AWARDS FOR POETRY BOOKS
Note: advice of most of these contests is to submit book as soon as possible during submission period.