Denmark does have something vaguely like it, though perhaps not as extensive. I'm on a researcher visa in Denmark (American citizenship), and it went via a separate program that was essentially, "rubber-stamp visas for researchers". I got my work permit by mail, in about two weeks after applying (!).

There are other Special Schemes for people who: have been offered high-paying jobs in Denmark (above ~$70k), who hold qualifications in professions deemed to be lacking available manpower, and a few other categories: https://www.workindenmark.dk/Find%20information/Til%20arbejd...