There are a lot of RSS aggregators. In the poll, the clear winner of the small list of options we could squeeze into the list was Feedly; in fact, it was the only replacement option to break into a double-digit percentage, tied with the catch-all "other alternative" choice.
Some of the strongest endorsements are for Tiny Tiny RSS (also knowns as tt-rss), including this one from the esteemed Col. Klink (retired), who also links to a "free (and improved) fork of the Tiny Tiny RSS Reader Android app."
An anonymous reader says that Tiny Tiny RSS "would be the 'slashdotter solution,' since it has a lot of strength in its plugin capabilities, is GPL v2, fully stylable, has an API, etc. If you have your own server available (or a shell account somewhere), I can't see any reason to not use this solution. I left Google Reader after several years upon the close-down decision earlier this year, and I have not missed it a bit. For those that have previously tried TT-RSS and didn't like it, it can be said that it has evolved significantly in my eyes during this year. Development is very much alive."
For those who'd rather stay in the browser, stevegee58 is one of several to suggest Netvibes: "It seems like the RSS reader market is flooded with apps so it was difficult to find web-based services. I had grown used to the Reader look and feel so I settled on NetVibes as being the closest fit."
Note: Digg's promised alternative to Google Reader is supposed to arrive soon, too — June 26th, according to that Washington Post article.
For those uninterested in using a yet another app when there's a perfectly good email client to read things in, there's this, from reader devent: a quick HOWTO on setting up an email sink for your favorite RSS feeds.
And for those who'd prefer a bit more esoteric solution, reader yosephi suggests Emacs + Gnus + Gwene, and links to an informative video tutorial, writing "There is a steep learning curve, but having mail and news in one place is nice."
(That suggestion was seconded by reader Sq, who writes "It will turn any RSS to newsgroup, and you can read those with any NNTP newsreader (for which I already have setup .newsrc syncing between accounts).")
Finally, at least two readers (uberjack and billstclair) have written their own alternatives.