As a user I vote for libreoffice.
The icons are very clear and will make it easier for users migrating
from OpenOffice or LibreOffice to start with LyX.
However, I would like to propose the following small changes:
1) Advanced find/replace:
As the magnifying glass is used in LibreOffice for zooming this could
confuse newcomers. In addition, a modification of the binocular would
indicate the relationship of normal find/replace and advanced find/replace
2) Insert list, insert description
The difference between these two icons is very subtle. Could the
description items in the description icon be represented by thicker lines?
3) increase indent, decrease indent
LibreOffice (newest version) uses different (and I think clearer) icons
in their formatting toolbar for Writer.
4) Toggle outline
While I think that this icon is very nice, the corresponding icon in
LibreOffice appears to be the navigator icon (a compass). Using the
compass would improve discoverability for LibreOffice/OpenOffice users.
Regards, Marcus