What comic books would you recommend to someone new to them?

The Umberella Academy by Gerard Way and Gabriel Ba. They're really good! Basically, the members of the Umbrella Academy, a disbanded group of superheroes, reunite after the death of their adoptive father, "Sir Reginald Hargreeves". Hargreeves, an alien disguised as a famous entrepreneur, collected the members of the Umbrella Academy shortly after their birth and trained them to save the world from an unspecified threat. After his death, the members carry on his plan to save the world. They are my favourite graphic novels. I was completely hooked after the first one.