ICOT, many restrooms nowadays (including in some yeshivos) have paper towel dispensers that work with a sensor. The problem is you can’t use them on Shabbos.
On a related note, I once saw a bathroom in a fancy place that had toilet seat covers that cover the entire seat and are replaced by pushing a button that makes it roll away like a conveyor belt and be replaced with a new clean one. Now we just need those in all public bathrooms with sensors rather than buttons…