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Redbox has select movies for $ 3.99. However, stock may vary depending on your local Redbox. It seems most have Blu-ray options but some like Beetlejuice are DVD only. See last photo in listing as example. I saw some Redbox deals posted recently but not this specifically per search.
Movies will not include original case. They will come in the typical Redbox case and have a barcode sticker on the center ring on top of the disc.
Movies available at my local Redbox include the following. However, again YMMV. You should be able to order online and pickup at Redbox or go to the location and order there: