Facebook has started rolling out its own App Centre to US members.
Updates on when it will be available in other countries will be announced in the next few weeks. Unlike Apple who takes a cut out of each app available to their users, Facebook will not take a cut but will direct you to where the app is available. There are a range of Apps available and you can choose between web and mobile Apps. The success of the Apps will be based on the quality of the App and users feedback.
For more information on the App centre have a look at the Facebook developers blog.
You may also be interested in Facebook’s update letting you manage your Facebook admin users.