I have to admit that I judge a city in part by how well it supports its libraries. The Devonport library is a sunny, relaxing space with views of trees and water. (Oh, and it has books too.)
We often hang out in libraries while traveling. Depending on the rules for a particular system, we may or may not be able to get a library card (in Auckland, we can’t), but we’ve always been invited to enjoy the books and the space.