Fantasy is my #1; I will give almost anything a chance if it has strong fantasy elements. Post apocalyptic, superhero, alternate history, science fantasy, some supernatural, romance, and a few fandoms (especially Game of Thrones) are also likely to catch my eye.
The irony when these were mandatory readings in my school curriculum back when I was a tiny Asian in an Australian Christian high school. And we used to watch Harry Potter the movie on the last day of each term. Thinking back, I miss those days.
I think the only book that was banned at our place was like. '101 ways to cook a human heart' or something. I admit the title made me super curious not because I'm into such things but just for the sake of science curiosity, but I never got a chance to read it.
The Satanic Verses, by Salman Rushdie (along, of course, with the usual list most everyone already mentioned: 1984, Catcher in the Rye, Fahrenheit 451, all the Harry Potter books (in order), etc.)