Birmingham certainly used to have that distinction, but since I no longer
live in the city I can't check right now. Ian Jelf might be able to tell us
if he's around ?.

The only stops which seem to be compulsory in Brum are (a) termini and
(b) bus stations. Everywhere else (yes, even things like the stop
right in the middle of King's Heath where half the people want to get
off, another 30 people want to board and there's a hell of a lot of
slack in the timetable anyway) gets by-passed from time to time.