I'm from the North-East of England and we tend to favour savoury pies (corned beef & potato, chicken & gravy, steak & ale, etc. etc. etc.). We also have pasties which are like self contained pies made from puff pastry. There's even a pasty with a savoury meat filling at one end and a sweet dessert at the other, it originates from the coal mining days when a worker would have to eat lunch in the mines. So rather than take down a parcel of foods he had his main course and dessert in one place!
In Teesside there's a dish called a Parmo, which is basically deep-fried chicken in breadcrumbs topped with a white béchamel sauce and cheese. It is usually accompanied by chips (that's fries to Americans) and is usually only eaten by people coming home after a night on the tiles (in similar fashion to a kebab).
There is also the traditional British Sunday Roast. Which consists of roasted meat and a whole host of accompaniments. The Sunday roast that I usually make consists of: roast chicken, roast potato, mashed potato, peas, carrots, stuffing, Yorkshire pudding and gravy. It's so traditional that I had it every Sunday in my house growing up and I just can't bear to let it go :D
I think I'll stop there because I'm making myself hungry but there are so so many unique regional foods that have become a staple in the culture, I could go on all day! :)