I just installed the latest Mac-native version of LibreOffice, and found that the HTML import is now mostly usable, not only correctly handling encodings and most CSS-based layout, but even recognizing Word-specific CSS and flagging it using the document-review functionality (sadly, it still ignores ruby tagging for furigana, but ruby is basically broken anyway). Also, the Draw module imports CorelDraw documents back to version 7, with most features intact (I still need version 3 and 4, but I can work around that with an old copy of 7 that I have running in a virtual).

The basic functionality has been there for a while, but quirkiness, lack of stability, and iffy interoperability were always problems, and it looks like the Libre team is serious about addressing them, which didn’t seem to be the case in the OpenOffice days.