Chrome, Safari (6.0.4), Firefox (20.0).
However, I've had no issues with actually downloading the jviewer.jnlp and executing it. Java 7 (64-bit) starts up fine; it just doesn't work consistently.
I've been reading that some people have had success with the CD-ROM feature only on Java 6 32-bit. However, since I'm running on a current Mac OS X I have no real options for downgrading my Java 6 to 32-bit, since Java 7 is required for a lot of my other management applications and Oracle does not make a 32-bit version of Java 7 for Mac.