AnyRSS is a simple RSS reader that we wrote in 2009. It was one of the first RSS readers in the Android market, and the first that worked off-line.
Even if the RSS reader market is extremely competitive, it managed to stay afloat for years because of its simplicity. It is a paid application, and several limited, single-RSS versions, such as FML provide a stream of potential users.
You can check out AnyRSS in the Play Market. The following video shows its main features: