At the feature level, the two products remain much the same. LibreOffice looks a bit more polished, offering little extras such as a more robust status bar at the bottom of the application screen. More important, however, are two features that LibreOffice supports that are not available in OpenOffice. And those differences could be incentive enough for many organizations to join the LibreOffice camp.
The first is embedded fonts. By being able to embed fonts into their documents, users can ensure that others can view the information the way it was meant to be viewed, regardless of the systems on which they're working. Without embedded fonts, formatting can become quite skewed depending on the contents.
The second important feature is support for the Office Open XML Text (.docx) format, the current de facto standard for Office 365 and Office 2013 Word documents. OpenOffice can read .docx files, but not save to that format. LibreOffice can do both, which can make life much easier in transitioning from one environment to another or in trying to maintain the two environments indefinitely.
Part of the challenge for OpenOffice is in how the licensing works for the two products. OpenOffice follows Apache licensing, and LibreOffice adheres to the Mozilla Public License. This basically means that LibreOffice can incorporate OpenOffice code, but not the other way around. As a result, any slick new features added to OpenOffice will likely make their way into LibreOffice, but OpenOffice can derive none of the benefits of LibreOffice innovation.
LibreOffice also has a more robust development community behind it and a more aggressive release cycle. OpenOffice tends to follow a more steady and conservative path. Although this could mean that LibreOffice is more prone to bugs in their releases, the product is also more likely to provide innovative features. Even so, they're both very stable products that offer many benefits, and each one is well worth a test drive.