I managed to install FB3 on OS X Lion. The problem is not in FB3, but in the InstallAnywhere package. Here's how ...
I found another application with JavaApplicationStub that worked on Lion. I used Cinderella (http://cinderella.de/files/release/Cinderella2.zip).
Find an application that runs in Finder. Right-click (Control-click) and select Show Package Contents. Go to the Contents / MacOS directory. Copy the "JavaApplicationStub" to your desktop.
Copy "FB3_Mac_Installer.app" from dmg to your desktop.
Right-click (Control-click) and select "Show Package Contents" in "FB3_Mac_Installer". Go to the Contents / MacOS directory.
Copy “JavaApplicationStub” from the desktop to the FB3_Mac_Installer.app/Contents/MacOS/ folder. Delete the executable file named "FB3_Mac_Installer" and rename "JavaApplicationStub" to "FB3_Mac_Installer"
Run FB3_Mac_Installer.app on the desktop.
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