Just recently I wanted to install Libre- or OpenOffice on my Windows 8.1 machine. Google wasn’t much of a help: there are a lot of pages comparing OpenOffice with LibreOffice. Yet most of them conclude with a “it doesn’t matter which one you choose.”
But there is a quite relevant issue that is not covered in all the pages:
If you’re not working with administrator priviledges (which is recommended), LibreOffice is the way to go! OpenOffice installs the menu entries etc into the administrator account. This isn’t a major issue – You could easily add the menu entries manually.
Well or just use LibreOffice, which installs correctly – no manual intervention required!