There is a very specific reading request I respect: give me something weird, but do not make me work that hard for it.
I like ambitious books. I do not always like books that confuse slowness with depth. If a novel is going to get strange, eerie, or structurally slippery, I still want it to move.
Annihilation by Jeff VanderMeer does this beautifully. It is uncanny almost immediately, and the tension never lets the atmosphere turn to soup.
Bunny by Mona Awad also understands the assignment. It is funny, hostile, theatrical, and just unstable enough to keep the pages turning.
Then there is Piranesi, which proves a book can be gentle and unsettling at the same time. The weirdness lands because the emotional thread stays clean.
When somebody asks me for an off-center read, that is what I want to hand them: a book with teeth and velocity, not just a pile of fog in an expensive coat.