Video rental stores are something from the past. Today, most companies are under pressure, because Netflix and Amazon can stream much more movies and are cheaper. But let us ignore this new development and describe the basic idea behind a classical video rental store. They were available from the 1980s until 2010. They boom period was together with the VHS format. The most interesting aspect in video rental stores was, that the medium was a physical one. A VHS cassette is something different from the internet, it was some kind of medium before the internet was invented.
The use case for the customer is very similar to a visit in the public library. He goes physical to the video rental store. Brings older cassettes back and searches for new films. They he checks out at the desk and leaves the store. So nice so good, the most interesting aspect is, that behind such a store a business model is there. That means, the owner of the store gets payed by the customer. And this is the difference to a public library, in which no such business model is there. The other aspects like the physical medium and the physical location are the same.
Video rental stores are a great invention. They help to provide access to information for all kind of people. And the business model can be transferred to today's libraries. Like in a videostore the customer come in, bring their old books back and searching for new one. Like in a library, the customer are prefering a physical store over the internet and are interested in printed books but not in digital pdf versions. They are doing so, because they love books made of paper with high resolution graphics and they hate the PDF format, because this can't be read at the beach.
As far as i know, most public library have also some DVDs and audio-cd available which can be borrowed for some days. The DVDs are the same like the titles in the video rental store, for example Rambo I–III, the A-Team or Flashdance. The difference is, that the public library don't want to be a commercial business but a democratic institution. Why? Is the Rambo I DVD from the public library so much better then the same DVD from a small video rental shop in the city? Isn't it true, that public library are buying the CD-Roms and books from a commercial publisher which is the same who is delivering the goods to barnes & noble or Amazon?