Ranking the HW champions purely in terms of legacy and cultural impact

[BitPlayer]

Maybe something like

1. Muhammad Ali
2. Jack Johnson
3. John L Sullivan
4. Mike Tyson
5. Joe Louis
6. Rocky Marciano
7. Jack Dempsey
8. James J Corbett
9. George Foreman
10. James J Jeffries

[ewenhay]

Ali, Louis, Johnson would be 1,2,3.

Dempsey and Tyson would be highly ranked too but those 3 are untouchable under the criteria you state.