Harvard is one of the most prestigious universities in the world. The Cambridge, Massachusetts school accepted just 5.9% of roughly 34,000 applications for its class of 2018. As Harvard President Drew Gilpin Faust recently said, "We could fill our class twice over with valedictorians." The school seeks out students who not only have high grades, but also have outstanding achievements under their belts — from overcoming homelessness to starting their own nonprofits.