This should be an easy one:

We've got "core" in our exclude_list to prevent the unnecessary backing up
of core dumps.

Unfortunately, there are several directories in our Oracle installations
called "core." The exclude list causes NetBackup to skip over these
directories.

I added this to the include_list file to override the exclude_list:

/*/oracle/*/core

This backs up DIRECTORIES named core, and any underlying directory
structure. However, it skips any FILES named "core" and does not back up any
of the files in the core directories.