Just as an aside, in the working-class neighborhood I grew up in in the Bronx, having a uniform on which your name was stitched on the pocket was an aspiration. It meant you actually had some job stability. Your boss thought you would be working for them long enough to make it worth having your name embroidered. He might think twice about firing you if it meant he had to go to the expense of changing it to a different name. 
A chief of police; a sheriff; military generals; the CEO of Disney?
According to Wikipedia
“While serving as chairman or Vice Chairman of the Joint Chiefs of Staff, Chief of Staff of the Army, Commandant of the Marine Corps, Chief of Naval Operations, Chief of Staff of the Air Force, or Commandant of the Coast Guard, the salary is $15,583.20 a month,[10] regardless of cumulative years of service completed under section 205 of title 37, United States Code.”
So, that’s only just under $187,000 per year. Good pay for a salary, but not big money.
I think even flag-grade officers draw Basic Allowance for Housing if they’re allowed to live off-post, so add about $36,000 per year for that. (OTOH, many senior officers are strongly encouraged to live in designated prestige housing on-post. In my Air Force experience, this is the housing area typically called General’s Row or something like this. If this is the case, they’re drawing BAH in-kind, not as cash.)
Actually in the US military, 4-star generals do not wear a name tag on their Class A’s, Dress Blues, etc. They may on their Battle Dress Uniforms or whatever they call them now. Actually I think it also applies to 3-star Lieutenant Generals.
That being said, a major general is making well above minimum wage. 
George Tanasijevich, President and CEO of the Marina Bay Sands (Singapore) is known to walk around the place with a name tag on and help customers whenever requested. He is referred to as “Employee Number One.”
I don’t know if that qualifies under the “has to” clause of the OP, but I’m betting he is quite well paid.
It’s true that Astronauts aren’t paid extremely well,but the OP did say “and/or prestigious”…I think they should qualify iin that department.
It’s a paying job, and certainly the highest on (or above) earth.
If the OP meant highest-paying, he should have hyphenated it so.
The first person I thought of was Lebron James. But I bet if Bill Gates ever wanders around in Microsoft, he gets issues a name tag.
I know of at least one brokerage firm that requires it. Seems silly to me but there it is.
Everyone at the brokerage firm I work at, including the founder and CEO, wears one. Today it’s very much about security but 50 years ago it was, or so the legend goes, so people could be on a first name basis. They’re even printed so your first name is 3 font sizes larger than your last.
What about Jeff Bezos? I believe he’s currently the richest person on Earth, although perhaps not the highest paid. Think he has to wear one at Amazon, Blue Origin, or the Washington Post?
I guess it’s more of a “it depends”. I work on a base with a lot of brass and have seen 3 and 4-stars without name tags. Below is a link to the Chairman Joint Chief of Staff General Dunford without a name tag…
https://media.defense.gov/2015/Sep/30/2001296251/600/400/0/150930-F-EK235-049.JPG
He’s a Marine. They have different uniforms. There are no name tags on dress uniforms for Marines of any rank. GEN Miley is Army. Army wears name tags on dress uniforms.
And to clarify “it depends” is not how the military works. Speaking strictly of the Army all soldiers of any rank have to follow the uniform regulation AR670-1. In the long past generals had the authority to modify their uniforms as they saw fit. That’s how you got some of the Patton variations. That changed a while ago. Now the only general who can disregard AR670-1 is the Chairman of the Joint Chiefs if he happens to be an Army General. Even then I can’t remember the last general who made up his own uniform variation.
What, exactly, was George W Bush wearing when that plane landed on the aircraft carrier for him to do the MISSION ACCOMPLISHED speech and photo op?
CEO of Amazon?
https://twitter.com/Nklarer/status/890611362484715520
I suggested him in post #34, thinking he might wear one at his spaceship company[sup]1[/sup]. Couldn’t find a video of him there. So thanks for finding a picture showing he wears one at least some times. Actually, I expect almost everyone wears one on occasion.
[sup]1[/sup] Elon Musk is not the only billionaire with a private spaceship company. He just grabs all the media attention.
Nitpick aside: that’s not true. When I was working in Houston, everyone had their security badge, and everyone used them to identify other people by their first name. As WOOKINPANUB stated, it’s as much about being able to identify on first name basis as it is security.
That said, I will still agree that is a different case than wearing a name badge for the public.