Clicking Play on the main screen works for me but MCPE crashes before entering the game. I can click "Play", then "Create New", "Generate Random", and on the Create New World screen, with default settings, clicking "Play" crashes.
Interestingly, I can get into Settings -> Storage without a problem
I can confirm that Riccardo's workaround works here. Hopefully the Minecraft team can make this work without having an Xbox live account.