Apple posted Java for OS X 2012-006 1.0 update today, which is available for OS X 10.7 and above. This update removes the Apple provided java plug-in from web browsers installed on your system, removes the Java Preferences application from the system, and brings the installed version of Java up to 1.6.0_37.
In addtion to this update, OS X 10.6 users can update to Java for Mac OS X 10.6 Update 11, which provides the same changes.
Java 1.6.0_37 is the Java 6 release containing fixes for some serious security vulnerabilities, including a well publicized one allowing an untrusted java applet to execute arbitrary code outside of the Java sandbox. More informatation on the Security Changes in the release can be found in the document: About the security content of Java for Mac OS X 10.6 Update 11 and Java for OS X 2012-006. The Java SE Development Kit 6, Update 37 Release Notes contain information on all that is new and changed in the Java 1.6 Update 37 release.