In the UK, a lot of local libraries are repositories of local history (and other specialised) collections. It's hard to see where the funding to Internetize all this data is going to come from - so, if the library goes, all that information could be lost too.
Personally, I still frequent my local branch libraries, and the mobile library that visits my village. I haven't read a book from them for months, but I like to do my bit to keep their lending figures up.