New Zealand doesn't have cheques any more. Banks here totally phased them out a couple of years back.
The USA will also make checks obsolete over time.
Plus cash is disliked at many retailers and cash is not acceptable at some locations (e.g. my skifield only accepts cards - I was told it is because the nearest small-town bank won't accept cash deposits from the skifield). I suspect our government will slowly discourage cash 1. to prevent tax evasion (cash jobs), and 2. to prevent illegal purchases (e.g. weed). Those are the main uses for cash that I personally see others use cash for (I use cash because I like using it and I like privacy).