Yes, I was going to suggest Bath too, but thought perhaps you'd done that already.
As Scarlett says, it depends how far you want to travel. Manchester is good, we loved the museum there, at times it was like going back to the Victorian era when you walked past some of the displays - such as the polar bears which were stuffed and on display, they were cracking! Add that to the wrought iron and glass work above your head and it really was like going back in time. Link here: http://www.museum.manchester.ac.uk/
York's great, probably the most versatile place to visit, so many things to do and see and all in a relatively short space.
Edinburgh's one of the most fantastic cities ever. Again, very versatile with lots of shopping and loads of historic places (at Holyrood House you can even see the blood of Mary's secretary who was killed at her feet which still stains the wooden floor to this day - supposedly!) The underground cities are superb and Edinburgh Castle is worth it in itself.
Give us a bit more detail about how far etc and we'll see what we can come up with.