Adrian IV is the only Briton ever to hold the papal title.
It is unlikely that we will have a British one any time soon, but the only ones who come even close enough to the upper echelons to being considered would be Cormac Cardinal Murphy-O'Connor (England and Wales) and Keith Michael Patrick O'Brien (Scotland)
But even they are mere Cardinal Priests rather than Cardinal Bishops. The next nearest would be Se�n Baptist Cardinal Brady who is the current Cardinal Archbishop of Armagh.