During Crawford's career, he officiated three World Series (1961, 1963, 1969), ejecting Baltimore manager Earl Weaver in Game 4 of the 1969 Series for arguing balls and strikes, the first managerial ejection in World Series competition since 1935, two National League Championship Series (1971, 1974), and All-Star Games in 1959 (first game), 1961 (first game) and 1968; he worked behind the plate for the 1968 All-Star Game.