I've tested it now on another computer with a new example and found some issues with my initial code, so I've commited fixes for that.

BTW, I've also found that tex4ht-html4.tex needs to be compiled twice after new package is added to mktex4ht-cnf.tex. This means that when we run `make`, it sometimes produces `html4.4ht` which doesn't contain configurations for that new package, even if they are present in `tex4ht-html4.tex`. I didn't investigated what's the cause yet.

committed to TL, r44094. can this ticket be closed now?

installed in TL (r43982) ...

Get errors using mdframed and framed packages:

------------------------------
\documentclass{article}%
\usepackage{mdframed}
\begin{document}
\begin{mdframed}
text
\end{mdframed}
\end{document}
---------------------------

htlatex foo.tex

(/usr/local/texlive/2013/texmf-dist/tex/latex/graphics/trig.sty)
(/usr/local/texlive/2013/texmf-dist/tex/latex/latexconfig/graphics.cfg))

! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
...

l.6 \end{mdframed}

?

And

---------------------------------------------
\documentclass{article}%
\usepackage{framed}
\begin{document}
\begin{framed}
text

test
\end{framed}
\end{document}
-------------------------------------

htlatex foo.tex

gives

(/usr/local/texlive/2013/texmf-dist/tex/generic/tex4ht/html4-math.4ht))
(./foo.aux)
! You can't use `\prevdepth' in horizontal mode.
\nointerlineskip ->\prevdepth
-\@m \p@
l.8 \end{framed}

?

reference:

http://tex.stackexchange.com/questions/183880/errors-using-mdframed-and-also-framed-packages-with-tex4ht-to-put-a-frame-around