Lyx document processor supports plenty of other formats, except for the default .lyx files. As such you can use the program to save your .lyx documents as .doc files for MS Word. It doesn't seem likely that any other program can handle .lyx file well, so this remains to be the only viable choice for lyx to doc conversion.
Convert LyX document to Microsoft Word document (prior version 2007).
We have found one software suitable in our database for this conversion.
Multiplatform software - convert lyx to doc on any platform
LyX is a document processor that encourages an approach to writing based on the structure of your documents (WYSIWYM) and not simply their appearance (WYSIWYG).
Convert from lyx file
to doc file
The table with program actions contains information about what each program is capable of doing with their files. This may be a good pointer for further searches for certain file conversions and help you find the converter you are looking for if our search result is insufficient for you. However, it is far from perfect and may sometimes show results which are not really usable because of the nature of the software handles the files. So a conversion that appears as possible, just because of matched actions, may in fact not be possible.