Who should I read? John Gray's "Straw Dogs" is a good one
I read a lot of Simone de Beauvoir, Sartre and Camus...
"At the Existentialist Cafe" by Sarah Bakewell is a good overview of existentialism and how the main thinkers are all connected... pretty much like everyone else said, if a book interests you, keep reading. However, I do find that reading some main philosophers like Heidegger, Husserl, Beauvoir, Sartre, Hume, Hegel, etc. is a good way to not get super lost in some material, as they do show up often
Oh one more good one, "Evil in Modern Thought" by Susan Neiman