Some of each is allowed in Washington Here are the particulars I just pulled.
http://wdfw.wa.gov/conservation/gray_squirrel/Western gray, Douglas', red, and flying squirrels are all protected species in Washington (WAC 232-12-011). Eastern gray, eastern fox, and California ground squirrels are not protected in Washington and may be hunted any time as long as all firearm restrictions are followed and a hunting license is possessed.
http://wdfw.wa.gov/living/rabbithares.pdfThe Nuttall’s cottontail rabbit, Eastern cottontail rabbit, and snowshoe hare are classified as game animals. A hunting license and open season are required to hunt them.
The Pygmy rabbit is a Federal Endangered Species and cannot be hunted or trapped. The white-tailed jackrabbit and black-tailed jackrabbit are Species of Concern and a special permit is required to kill them in damage
situations.