 Davidson akatonga mu1992 World Series, pamwe neNational League Championship Series muna 1988, 1991 uye 1996. Akashandawo muNational League Division Series muna 1995, 1998 uye 2009, uye muna 1987, 1993, uye 2014 All-Star Games. Akatumidzwa zita remadunhurirwa rekuti Balkin Bob kana Balk-a-day-Bob nekuda kwekutaura kwake kakawanda, Davidson akasarudzwa nevatambi uye mamaneja semumwe wevatongi vakaipisisa muMLB, achiisa chechina chakashata mu Sports Illustrated sarudzo muna 2011. 