updated 04:38 pm EDT, Tue June 18, 2013
Updates fix security, stability, and compatibility problems
Apple has posted twin Java updates for OS X, Java for OS X 2013-004 and Mac OS X v10.6 Update 16. Both deal with security, stability, and compatibility flaws. The first is targeted at Lion and Mountain Lion users, while the second is for Snow Leopard only.
Regarding 2013-004, Apple cautions that the patch will uninstall the Apple Java plugin from all browsers. It also removes the Java Preferences app, which is no longer needed for configuring settings.
Both updates are available either through Software Update or the Mac App Store.