(This question assumes we are in the Diaspora, so that Simchat Torah is on the second day of Shemini Atzeret.)
This coming year (5784) the first day of Shemini Atzeret falls on Shabbat. What do we read from the Torah at Shabbat Mincha? Presumably we read the first part of Parshat Vezot Habracha. But that seems weird -- we read it at Mincha, and then we read it again at Maariv for Simchat Torah? I can't think of an alternative that seems more reasonable, but something about that just seems off to me.