This page contains a list of UK newspaper[1] Ok. Yes, I included the BBC which isn't a newspaper. It's my page and I make the rules. RSS feeds. For more information about what RSS is and how to use it, see this article.
All of these feeds are almost certainly covered by terms and conditions which you should read by following the "more information" link for each source.
If you know of any other feeds produced by a UK newspaper, then I'd love to know about it. Please let me know.
Update: Added OPML files. There's one that contains everything and one for each individual source.
Choose a source: and/or filter the list: