Instapaper actually does this. You can have it e-mail everything you've added to Instapaper to your Kindle as a kind of personally curated newspaper. It's not well publicized but is relatively easy to configure in your Instapaper account.
I'm working on generating perfect (all images, all pages) .mobi periodical files from rss feeds, send me a mail (in my profile) if you want to test a MVP when it is ready.