After fixing some bugs of the 6.2 beta version, Facebook has released the updated version 6.2.1 SDK for Unity.
You can download it from here.
Unfortunately, the SDK still does not support Windows Phone or Windows Store. However, you can continue using the custom integration SDK (which is modified from the official SDK) from here.
It has been extremely wonderful time developing a game on my own with this beautiful engine. Finally one has been published. 0:)
The game is Little Superman which is based on a Malayalam movie of the same name. It is a 2D platformer game in which the user has to control the little superman and keep him from falling down or hitting the birds. The game has Facebook integration, in which users can share scores through their Facebook account and get into Leaderboards.
Android users can download the game here and Windows Phone users here.
It will be released in iTunes store very soon.