All Tennis Players How Many Grand Slams Has John Bromwich Won? John Edward Bromwich (14 November 1918 – 21 October 1999) was an Australian tennis player.John Bromwich has won 2 Grand Slams. FacebookTwitterEmail How Many Grand Slams Has Madison Keys Won? How Many Grand Slams Has Jannik Sinner Won? How Many Majors Has John Isner Won?