Koufax was one of my early heroes. The 1965 World Series was the first one I really watched. Every game of that series was won by the home team until Game 7, when Koufax pitched a 3-hit shutout on 2 days rest, after a 4-hit shutout in Game 5.
IIRC Koufax didn't start Game 1 of that Series because it fell on Yom Kippur.