CalArts requires a Shakespeare, and I agree that it is impossible to find one people don’t know, so go for one that resonates with you, as @Jkellynh17 suggests. My daughter did one from Titus Andronicus because she loved the dark aspects of the play and the fact that it was a lesser performed work of his. Of course as soon as she decided it seemed like all our local theatres were doing productions of Titus!