This week's book giveaway is in the OO, Patterns, UML and Refactoring forum. We're giving away four copies of Refactoring for Software Design Smells: Managing Technical Debt and have Girish Suryanarayana, Ganesh Samarthyam & Tushar Sharma on-line! See this thread for details.
There are many advantages, though some of them are really personal or design preference. 1 - with inner classes you can access private members of the enclosing class. 2 - they are useful for interface implementations that are only used by the enclosing class (event handlers in a application) 3 - they are useful for providing fine grained access and creation control over an interface implementation that is retrieved externally (maybe something like an Iterator implementation) Once you learn how to use them effectively you will wonder what you did without them. Hope this helps.
You're likely to stumble upon a few good past conversations on inner classes when trying a search on one of the Java in General forums or the OO forum. Note that the search page link is at the top right of this page.