Our local library here in the Netherlands is like this. The local archery club practices inside a few nights a week. There is a full court gymnasium, a stage and enough space to seat a few hundred people. There is a coffee bar, pool tables, plenty of seating and even a few books! ;)
The building is open until 11pm 4 days a week, with reduced hours on Friday and Saturday; closed on Sunday. I guess it's no surprise that the website describes as more of a "Multifunctioneel Centrum" as opposed to just a library!
They have spaces for business meetings, rooms for night classes, groups to meet and so on!
They really are a wonderful mix of community services.
Plus libraries are still a great place to take young children. They often have seperate kids areas where you can spend an hour or two with toddlers.
Libraries arnt stuffy old quiet buildings anymore!