– First Indian batsman to score a triple century in first-class cricket (considering KS Duleepsinhji as an English cricketer)
– First Indian to score a century in each innings of a Test match (116 and 145 on successive days against Australia in Adelaide in 1947–48, which was the same team that became known as The Invincibles)
– Against England at Kanpur in 1951–52, Hazare also became the first Indian batsman to score a pair (a duck in both innings)
– First Indian player to score a century in three successive Test matches
– First Indian player to make fifty centuries in his first class career
Highest partnership for any wicket in first-class cricket (577 runs with Gul Mahomed for Baroda against Holkar in the final of the Ranji Trophy at Baroda in 1947.