For the best All Around player, we used to always consider Straight Pool as one of the games. In the 60's and 70's, Ed Kelly was considered the best All Around player by his peers. After him, it was either Mizerak or Sigel, with Hopkins, Rempe and Varner close behind.
Today, it might be John Schmidt or Danny Harriman for excellence in all three games (14.1, One Pocket and 9-Ball). Danny also excels in Bank Pool, so on that basis he may be #1. I'd like to see a true All Around World Championship playing these three games. Hasn't been one since the Stardust and Johnston City. Bank Pool has replaced Straight Pool in all similar events.
If you now make the best All Around player the one who excels at Banks, 9-Ball and One Pocket, the list could change. Shannon Daulton would have to be high on that list, if not on top. Danny Harriman might be the second choice now, with Sylver Ochoa moving up the list fast.