Looking back I realize I forgot to explain something I was attempting to do.
I'm trying to learn how SE Embedded is used (and compact profiles work) so I was referring to the downloads on this page: http://www.oracle.com/technetwork/java/embedded/downloads/java-embedded-java-se-download-359230.html
I'm work with a team that does proof-of-concepts for clients and while we don't use the RPi for production, I do want to use it to play around with building and deploying various configurations of Java on a device (full SE, SE embedded, ME, etc.).
Thanks again for any help. I appreciate the feedback.
I received help from Stephen Chin on this! Thank you Steve. You can see his excellent work here: Steve On Java
I also found some information from Hinkmond Wong's blog: https://blogs.oracle.com/hinkmond/entry/even_quicker_guide_to_install
I'm pasting a modified version of the conversation and information here for other wandering souls!
METHOD 1 - download & deploy, options for compact profiles
Most Raspberry Pi distributions have been hard float for a while... To check, look for the following file:
If this exists, you are running hard float.
Once you have your Pi on a hard float build, grab the latest Java 8 from here:
Grab the first one titled "jdk-8-linux-arm-vfp-hflt.tar.gz"
For doing compact profile work to learn how SE Embedded is used (and compact profiles work) go to the downloads on this page: http://www.oracle.com/technetwork/java/embedded/downloads/java-embedded-java-se-download-359230.html
and start with this one: ejdk-8-fcs-b132-linux-arm-vfp-hflt-03_mar_2014.tar.gz (ARMv7 Linux - VFP, HardFP ABI, Little Endian)
then use jrecreate to shrink it.
METHOD 2 - use apt-get on the Raspberry Pi, full "embedded" version of the JDK
From Linux command line >> sudo apt-get update && sudo apt-get install oracle-java8-jdk
Note: see Hinkmond's blog post and an excellent explanation in the comments section on the meaning of SE Embedded