The Vice Presidency has often been called an office of insignificance, as the Constitution gives the Vice President no authority except to preside over the US Senate, cast a rare tie breaking vote, and sit in waiting for the President to die!
Therefore, the office has been ridiculed, and some have suggested that it be eliminated by constitutional amendment without answering what the line of succession would be if such a change occurred.
Despite the low esteem of the office historically, significant men have served in that office, even if unhappily in most cases.
So if a list were to be made of those Vice Presidents who mattered because of their entire career, the list would include:
John Adams under President George Washington
Thomas Jefferson under President John Adams
Aaron Burr under President Thomas Jefferson
John C. Calhoun under Presidents John Quincy Adams and Andrew Jackson
Martin Van Buren under President Andrew Jackson
Theodore Roosevelt under President William McKinley
Charles G. Dawes under President Calvin Coolidge
Henry A. Wallace under President Franklin D. Roosevelt
Harry Truman under President Franklin D. Roosevelt
Richard Nixon under President Dwight D. Eisenhower
Lyndon B. Johnson under President John F. Kennedy
Hubert H. Humphrey under President Lyndon B. Johnson
Gerald Ford under President Richard Nixon
Nelson Rockefeller under President Gerald Ford
Walter Mondale under President Jimmy Carter
George H. W. Bush under President Ronald Reagan
Al Gore under President Bill Clinton
Dick Cheney under President George W. Bush
Joe Biden under President Barack Obama
All of these men had a distinguished career before the Vice Presidency, made a difference in American history in some fashion, and all of those since Henry A. Wallace actually had impact upon the growth of the office. Of course, nine of the nineteen listed also became President.