What to use on OS X Lion: OpenOffice.org, LibreOffice or NeoOffice?
Openoffice is effectively dead ofter Oracle bought Sun -- all the developers moved to LibreOffice, and, assuming you care about future enhancements and compatibility Libreoffice is the way to go now.  I used to use NeoOffice when it was the only native port of OpenOffice for OSX, but since LibreOffice has a maintained OSX port I just moved to LO.

I am on OSX 10.7.4, LO 3.5.4 and all works fine for me.