I'm no expert on these but there are fakes of the cloth achievement badges dating back to the 1970s. You'll find some in the cloth insignia fake section. What I noticed about all three of the ones you posted is that the cloth seems rougher and less "shiny" than originals. The letter stitching seems also more exact than on originals. Bearing in mind that there was only one grade of DJ achievement badge and that all three of these patches have the same cloth and construction I'm going to say that white on black and bronze on black are outright fantasies and that the black on white is a modern copy because it has been made in exactly the same way. I hope that you'll get further opinions.