Oh I got tons of these, I love weird random questions and often ask them in the other thread ask the person below you a question.
So out of the top of my head:
-If you wake up turning to the other gender, what would you do first? why?
(useful and playful for flirting)
-any stranded island question, for example, if you are trapped on the island with *insert whatever* and run into *random situation*...etc.
(great for getting an insight into the other person)
-anything hypothetical. What animal would you be? what superpower do you want? How would you survive a zombie apocalypse??