The Facebook API lets you post status updates (message, links, photos etc) to your timeline via the API. This is handy if you want to have automatic sharing in your application (assuming users have consented to it) to post uploaded photos, links etc.
Wonga Halloween Trick or Treat App

For Halloween, I helped wonga.com reskin an old app they had originally developed with a third-party agency. The app used Adobe Flash as the main user interface, with a PHP / MySQL backend.
Application, Facebook, Wonga.comFacebook API: App Notifications API for Facebook Canvas Apps
Use the new Facebook Notifications API to send app notifications to your users, instead of using emails or requests. No additional permissions required.
Facebook, Facebook Graph API, NotificationsYouTube and Facebook (Social Video) Example
An example of adding Facebook plugins to a YouTube video with some simple styling to make a professional looking page.
Facebook, Facebook Social Plugins, YouTubeTwitter API: Tweet Button Callbacks
I wanted to reward users for tweeting, but didn’t want to use the full Twitter API and OAuth authentication. I found a simple solution that triggers a callback when a user tweets using the standard Tweet button.
JavaScript, Twitter, Twitter APIFacebook API: Generating a Large Square Profile Image
Facebook still restrict the “square” image to 50px by 50px. Here is a clever way of generating a new thumbnail image for the user (on the fly) using the Facebook Graph API and the PHP GD2 library.
Facebook, Facebook Graph API, GD2, Image ManipulationSocial BBC News Example
Here is an example of socialising a video player with Facebook’s social plugins. In this example, I’ve integrated the BBC News Player with the Facebook Like and Comment plugins.
Facebook, Facebook Social Plugins, Flash