The original Turing test had the AI attempting to imitate a woman, which is not only demonstrates conversational ability, but an understanding of complex ideas like gender.

Incidentally, I think this can actually be a very low standard, depending on context. We tend to think of the Turing test as being performed by academics, in a lab, where everyone is Very Serious. But if you put real humans on i.e. Omegle (with no video), they typically type with poor grammar and say "random" sounding things that quite plausibly could be said by an AI. Additionally, the preponderance of spam scammers demonstrates that many people are quite gullible, unable to differentiate between a Nigerian scammer and a legitimate representative of their bank. Given this, I think we already passed the Turing test, not by bringing AI up to the level of humans, but by bringing humans down to the level of AI.