According to FeedBurner,  Bloglines owns one-third of the RSS market. All hail Bloglines!

Bloglines is a website where you can subscribe to blogs and any RSS or Atom feed and when new stories are posted, you can read them from Bloglines. You won’t have to visit every website to read their latest stories. There are many other feed aggregators and ways of reading feeds from  Live Bookmarks in Firefox to GUI software such as SharpReader. More info on aggregators are at Wikipedia.

I personally use Bloglines and find it very intuitive and easy to use. Some of the features I like about it are: