NFM
There is one such authentic aircraft that I know of, and that is the BBMF Lancaster. I cannot think of any equipment in that old lady that is not authentic - and this often made life quite challenging. In contrast is the Canadian Mynarski Lanc. For a start it has modern nav gear amongst many other aids to safe flying. I quite understand the purist's desire to keep things as "pure" as possible, but not at the expense of flight safety.