Press is a decent Android app with a lot of sync options. I use it with my reader via Fever API. The only complaint is that it has a few memory leaks which causes it to crash every now and then on memory constrained devices.
If you have a server where you can install something yourself, I recommend TinyTinyRSS[1], or if you already run a ownCloud instance then ownCloud News[2]. For both of them there are desktop and mobile clients, TTRSS even has a fever plugin[3] which mimics the fever API so you can use it with all clients which only support the fever API too.
I tried newsblur for a while but bazqux.com has Readability text download built-in (on the ; key) and I can't do without that now.
Strongly recommend giving Feedbin a go (http://feedbin.me) - only $3 per month and a great client (plus a number of mobile and desktop apps to choose from).