Football Mogul 20 adds historical rosters and league configurations from 1951 to 1969 (in addition to the seasons from 1970 through 2019 that were already included).
Here's a screenshot from my most recent test, using the actual schedule from the 1959 season. As they did in real life, the Baltimore Colts finished 9-3, earning a spot in the NFL Title Game against the New York Giants.
You can see that the Giants are favored by 2.5 points to win the championship. In real life, the underdog Colts beat New York 31-16 with a stellar 4th quarter performance by Johnny Unitas.