I work on a project which helps you produce RSS feeds from web pages that don't offer their own using the page URL as input and simple selectors to identify the web page elements to be used in the feed.

Here's what it can produce for the Reuters World News mobile page:

https://createfeed.fivefilters.org/index.php?url=https%3A%2F...

Here's what it can do for the main site:

http://createfeed.fivefilters.org/index.php?url=https%3A%2F%...

The downside is that certain changes to the HTML structure (e.g site renaming/removing class attribute values used as selectors) could cause the feeds to break.