This isn't exactly the same as a one time "box" but monthly subscription services for "boxes" of different items have been taking off lately.
I currently subscribe to Barkbox[0], a monthly subscription to receive dog treats, toys and accessories every month. A few months ago they had over 20,000 subscribers. They based their model off Birchbox[1], which provides a monthly subscription of hand picked beauty products.
I've been trying to think of other niches that would be a good fit for this box model.