Lincoln is officially a Minster as well, although most people call it a cathedral.
Leeds is by no means no means the only city with a Catholic cathedral but no Protestant - see e.g Brentwood, Nottingham, Salford and Westminster.
Guildford is my least favourite - it looks like a power station, and being out of town you rarely get congregations of more than half a dozen. It is, however, the only one in which I have been the cantor.