These books should be at the top of your list.
Here’s the problem with reading the books that everyone else has read. It makes you more like everyone else. Checking off the various books from your high school curriculum, and then, perhaps the “100 Greatest Books Ever Written” is the educational equivalent of skating to where the puck is and not where it’s going.
Reading is about insight into the human experience, about understanding. What does following in the footsteps of everyone else get you?