Which of these officeholders can win a major party nomination?

[President Johnson]

With the rare exception of Trump, Eisenhower and Willkie, most major party nominees have previously held the position of vice president, senator, governor, cabinet secretary or - rarely - congress(wo)man. Never has a mayor or state attorney general outright won a nomination, let alone the presidency.

Which of the above named positions could you see become a nominee of either party? Obviously this means the above named position is the highest the individual held (and none of the named above).

The only person I instantly remember is Garret Hobart, McKinley's first vice president, who was only a state senator. And that was back in 1896. Supreme Court Justice Charles Evans Hughes was the Republican nominee in 1916, but served as Governor of New York from 1907 to 1910.

I'd only see mayors of large cities and potentially a state attorney general as potentially viable candidates. The latter maybe even more to build up a national reputation. I don't see a Supreme Court justice ever winning a nomination again. All the others wouldn't be viable unless they're known for something else (like TV star etc.).

[Mister Mets]

It's an interesting question.

A large city mayor has a shot.
Buttigieg did pretty well as a small-city mayor. If Biden had lost, Buttigieg would have a shot in 2024.
State Attorney Generals can get a lot of attention.
Statewide officeholders may have problems getting national attention. It's also unlikely that they'd have the skill to be a presidential contender, but not to be elected Senator or Governor.

There may still be some weird scenarios. I could see someone losing a statewide race in a way that still raises their profile, especially if they can parlay it into some kind of prominent position (even a TC show or something.)

[Adjective-Statement]

I would think given the example of Trump that anyone with a movement in a structurally weakened party could get nominated.