[One Great Matrix]

And I think these are the teams that won the World Series in their random teams (.595+ Post-1942) league & particpated in the final season.

1993 San Francisco Giants (103-59, 2nd place, 1 GB Atlanta Braves, NL West)
2011 Philadelphia Phillies (102-60, Lost LDS to Cardinals, 3-2)
2002 New York Yankees (103-58, lost in LDS to Angels, 3-1.)
1988 New York Mets (100-60, Lost National League Championship to Los Angeles Dodgers, 4-3.)
1996 Cleveland Indians (99-62, lost in LDS, 3-1, to Baltimore Orioles)
1976 Cincinnati Reds. (102-60, Won W.S., vs. N.Y. Yankees, 4-0.)
1995 Boston Red Sox (86-58), lost LDS to Cleveland Indians, 3-0.
2013 Boston Red Sox (97-65, WORLD SERIES WINNERS, 4-2 over the St. Louis Cardinals.)
1999 Atlanta Braves (103-59, lost World Series to New York Yankees, 4-0.) (N.L. Champs)
1998 Houston Astros (102-60, lost in the LDS to the Padres.)
1993 Philadelphia Phillies (97-65, Lost World Series, 4-2 to Blue Jays) (N.L. Champs)
2002 St. Louis Cardinals (97-65, Lost National League Championship to SF Giants, 4-1)
1970 Baltimore Orioles (108-54, WORLD SERIES WINNERS, vs. Cincinnati Reds, 4-1.)
1974 Cincinnati Reds (98-64, finished in 2nd place, 4 GB the Los Angeles Dodgers.)
1954 New York Giants (97-57, won WS, 4-0 (Cleveland))
1971 Oakland Athletics (101-60, lost the American League Championship to Baltimore Orioles, 3-0.)
1951 New York Yankees (98-56, WON WORLD SERIES over NYG, 4-2.)
1998 San Diego Padres (98-64, Lost WORLD SERIES to New York Yankees, 4-0.) (N.L. Champs)
1972 Pittsburgh Pirates (96-59, Lost the National League Championship to the Reds, 3-2)
2001 Oakland Athletics (102-60, lost LDS to Yanks, 3-2)
1973 Cincinnati Reds (99-63, lost N.L.C.S. 3-2 (N.Y. Mets)
1992 Atlanta Braves (98-64, lost WORLD SERIES to Toronto Blue Jays, 4-2) (N.L. Champs)
2009 New York Yankees (103-59, won World Series 4-2 over Philadelphia Phillies.)
1980 Kansas City Royals (97-65, Lost the World Series to the Phils, 2-4.)
1999 New York Yankees (98-64, won WS, 4-0 over Braves.)
2002 San Francisco Giants (95-66, Lost World Series to Angels, 4-3.) (NL Champs)**
1975 Cincinnati Reds. (108-54, Won W.S., vs. Red Sox, 4-3.)
2015 Pittsburgh Pirates (98-64, lost NL Wild Card playoff to Chicago Cubs, 1-0)
1967 St. Louis Cardinals (101-60, WORLD SERIES WINNERS, vs. Red Sox (4-3))**-Not a .595 winning PCT. team.

I may be able to confirm this and/or add the season & playoffs results from this last league later, another time because I may still have access to it but on another computer.