> Things like the Winograd schemas which have attracted a lot of attention simply aren't possibilities in other languages.
I do not think that is correct. Anaphora exists in many languages. Check out the Anaphora article on wikipedia and click on different language versions. There are example sentences for many languages.
There are translation for the Winograd Schemas into a couple of languages. Granted I found some of the translations a little unnatural in some cases but they are still understandable and expose the problem.