The Spertus Institute in Chicago, with a Jewish public library of over 105,000 items, 550 current periodical subscriptions, over 1,000 Jewish-interest feature films and documentaries, houses a special collection of Jewish music with thousands of sound recordings and sheet music. The library also houses the Chicago Jewish Archives. Hours and more information are on the website.
http://www.spertus.edu/asher_cja/about.html