I grew up in Carlisle and there were plenty of cobbled roads, streets, and lanes in the city centre back then. All traffic on it's way to and from Scotland on the A6 came through Carlisle back then.
A few cobbled side streets still exist, I used a couple as a short cut to the Hein Gericke store back in the day. I can also think of a few West Cumbrian towns where there's cobbled streets.
York has cobbled streets, from the narrow medieval Shambles, to areas round York Minster where period houses and cobblestone streets are popular for television crews filming costume dramas like ‘Gentleman Jack'.
North Yorkshire market towns like Richmond, Skipton, and Thirsk have large areas of cobblestones which when weekly markets aren't on are used for car parking.
Haworth, a village in West Yorkshire usually associated with the Brontë sisters has a very steep High Street. I was there last year and was very impressed to watch a couple gritty middle aged ladies from the Queensbury Queens of the Mountains Cycle Club pedalling up it. Respect ladies.
Of course cobblestones can be treacherous when it's raining, but so are roads where the surface has been planed grooved and left for weeks before resurfacing.
I used to enjoy an occasional ride into the Yorkshire Dales for a meal a Skipton Pie & Mash before it closed. It was located in a Victorian building near the Leeds and Liverpool Canal. There was limited off street parking in the yard beside it.
The yard was surfaced with large rounded cobblestones, very uneven, with a gutter running along the length of the cobbles. Riding in and out was OK, but parking the Silver Wing, and later the Forza was a bit of a challenge. If I was lucky I could use the main stand, if not there was a bit of juggling to find the right place to use the side stand securely.