Maybe you are one of the people who is using GoogleReader not because you like Google that much, but because you are not aware of a nice online alternative.
organize and read your feeds, set priorities, filter your feeds and items and fetch news, images and photos in a really easy way
simple ⋅ free ⋅ open source
You can install rsslounge on your own server. You just need apache/php/mysql.
Update September 2014: I’m now using Tiny Tiny RSS which is great. Easy to install and it has an open source android client too.