I've tried to use RSS before, but the big hangup for me is most sites don't put the full article in the feed, just a title and summary. To me having to go back and forth just kills the whole thing.
If you're using Android, check out gReader Pro. You can have it automatically download and store the full articles for later reading.
I also run my own RSS aggregator, tt-rss (this is how I replaced Google News after Google ruined it). tt-rss has a plugin that will also download and store the full articles for later reading. It provides its own RSS feed as well as a web interface.