Who is the Pulitzer Prize-winning critic with the last name Richard?

There is no Pulitzer Prize-winning Critic who fits all your stated criteria in the Pulitzer.org database. The closest matches are a journalist named Richard Eder, of Los Angeles Times, who won a 1987 Pulitzer for his book reviews; a journalist named Frank Rich, of The New York Times, who was a Pulitzer finalist in 1987 and 2005; and a theatre critic named David Richards, of The Washington Post, who was a finalist in 1989.