So Google followed through on their threat to kill Reader and I ended up having to track down a new RSS feed reader. Having been bitten by the Cloud, I decided it'd have to be locally installed, after trying a few I've settled on FeedDemon (now discontinued, a shame) as "best so far".
The one thing I really, really miss about Google Reader (which in fact was the reason I started bothering with RSS in the first place) is that it had a bookmark you could set that would open the URL of the next unread item in your queue. Dragged the bookmark to the bar, and one click gets me to read something new and exciting (and middle click to read lots of new and exciting things in tabs). Sure, every time someone published an RSS entry without a URL google gave me a 500 error and marked every single article read, but hey, it was damned convenient when it didn't implode.
FeedDemon gives me a link to click on each article to open in its (embedded IE) browser, but as I go down the list of articles it doesn't automatically remove the read ones nor does it automatically add new unread articles unless I manually refresh the article list (maybe I'm doing it wrong?). It has a "Next Unread" button but it doesn't open the URL, it just shows the RSS item header and then I have to click it to open the URL.
Strongly considering taking some of what I learned in the Coursera python class a while back, this feed parsing library, and learning wxPython (platform independence!) and spinning my own. It won't do much, but it WILL have a button that launches a chosen browser with the chosen URL (thinking of making it a systray icon: left click to open next item, right click for menu, blinks when there are unread articles).
It could even pop up a window to display an article with no URL.