One idea I have about the Hall of Fame is that worthy players should have at least some significant peak value. Maybe something like 3 straight MVP caliber years. Baseball Reference suggests that a WAR of 8 or higher is an MVP type season. So I lowered it just a bit to 7. This would actually make for a very restrictive Hall. I found only 36 players in this group. They are listed below.
The co-leaders are Henry Louis Aaron and Henry Louis Gehrig. Their two streaks were exactly 30 years apart. Gehrig's was 1926-37 and Aaron's was 1956-67. Some great players did not make it, including Frank Robinson and George Brett (who are definitely Hall of Famers, probably in anyone's book). Ron Santo had 4 straight years, 1964-67. Jackie Robinson had 5 straight from 1949-53. That is incredible. Andruw Jones and Jim Edmonds are two of the more interesting surprises.