Library one town over - When DD19 was looking for NHS volunteer hours, we started looking around to longer term options that would also be good on her resume and for collegiate references. Our town branch was full for the summer, but the local one a town over had space for her in their summer teen intern volunteer program. It went so well that she was brought on year round to volunteer. They gave her such a wonderful referral for her college apps. In fact, it also helped her get a job at OU last year working in their law library.
Current town library - My girls didn't know anyone when we moved here. Houston is a huge metro area so moving from one side of the city to the other might as well be like moving across the country. One of the first things I found for them up here was a Harry Potter series of events at the library. That helped them meet some kids pretty early on.
Town library private rooms - Both of my girls have used them from time to time for anything from SAT prep to small school groups. It's great to have a space to go that doesn't require you to buy coffee or food...that also has a ton of resources and quiet standards to help you get your work done.