I use NewsBlur all the time It does what I want, does it well, and does it without a fuss. Recommended without reservations.
Best RSS reader
No longer able to download podcasts Gotta uninstall, have loved this app until now. :(
Doesn't show full text of the majority of stories.
Newest update kills the battery. It's the largest culprit. Please look at it.
Best RSS reader since Google Reader
Version 4.8.0 (May 2016)
* New unread chooser at the bottom of the feed list