Canzoneri is a member of the exclusive group of boxing world champions who have won titles in three or more divisions.

Historian Bert Sugar ranked Canzoneri as the twelfth-greatest fighter of all time.

In 1925, when he was 18, he lived in the Bedford–Stuyvesant area of Brooklyn (his occupation in the 1925 New York census is listed as "prize fighter").

Canzoneri claimed he got the first knockout scored in the new Madison Square Garden in a bout against Danny Terris on December 23 of the same year.

He defended the title once and then went up in weight and challenged World Lightweight Champion Sammy Mandell, losing by a decision in ten rounds.

[4] Canzoneri, Barney Ross and Henry Armstrong were the only boxing champions in history allowed to hold two or more world titles simultaneously.

He beat Shaw by decision and recovered the world Light Welterweight Championship.

Among other world champions that he beat were Frankie Klick, Baby Arizmendi, Jimmy McLarnin and Kid Chocolate.

Newspapers, however, would fill this gap, giving their own opinion of which boxer had won the fight.