They do sell BttF and Jaws at the Film Vault in the NY area, but not sure about other gift shops. The films featured in the new show are available in the main shops.I imagine they sell the DVDs for BttF and Jaws at the gift shop, but I do not know for sure.
someone did post a sign that mentions the films featured as available in the gift shop and that could have also played into what is featured in the show.