As you can guess, I cast my vote for Pope Dalton I, after my hero, although I considered Pope Shatner I. Also, I don’t think there has ever been a Pope Dwayne, and there definitely should be.
Some of the leading choices so far:
Pope Pedo 2 (oops, “accidently” mistyped Pedro 2) 1
Pope Ourri
Pope Ogigio 2
Pope George-Ringo, to bookend John-Paul
Pope Gert-Frobe
Popey Gaga
Pope Mobile
Hop-on Pope
Pope Randy “Macho Man”
Pope Tarts
Pope Generoso 3
Pope Springs Eternal
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Footnote 1: As you know, the very first pope was named Pedro, the name Jesus gave him. There has never been another.
Footnote 2: If you understand this joke, you are old and have a hell of a memory. If you don’t, Ed Sullivan will explain it to you.
Footnote 3: That actually sounds like a real pope name, but Generoso Pope Jr. is the guy who founded the National Enquirer.
(It’s a spoof. I hate having to type that, but somebody will post it in the comments if I don’t, because they think the rest of us would never figure it out on our own.)

I kinda like Pizzaballa.
Talk about rolling a natural!
Then a thousand years from now there might be Pope Pizzaball XIII.
Pope Poe!
Pope Pourri
Pope Adama or kindly gtfo, thx.
Pope Onarope?
Love it!
Alpine 6 Action News? That’s new to me. Looks like ‘The Onion’ missed the ball on this one…
That site has some great headlines, although I haven’t had time to read the articles:
Trump FDA says, “Smoke ’em if you got ’em”
FAA replaces safety guidelines with thoughts and prayers
Oswald Cobblepot warns Trump will rue the day he crossed the penguins
Vance Deeply Troubled by Meme Onslaught, Finds No Solace in Fresh Eyeliner
Hegseth apologizes for text mishap, thought he was messaging the Russians
DOGE moves treasury funds to Musk’s personal bank account for safe keeping
Trump says the Constitution is unconstitutional
Trump’s new Executive Order bans that one clip from The West Wing
Oh, and my vote is for ‘Pope-tato’…
Pope of dope…?
Time to elevate the Father to Pope, Guido Sarducci
I want a pope with a really high number, like John XXIV or Benedict XVII. I think the mental exercise of figuring out the Roman numerals would be good mental exercise for people. A lot of people don’t get enough mental exercise, IMO.
Obviously, I am one of those people.
Pope Charli XCX ??
People should get a mental workout with that one. Is it 90-10? Is it 10-110? Inquiring minds want to know.
(Like the mind of blessed Pope Generoso.)
Another possibility that meets your criterion is to name the pope after the most recent pro football championship. They have plenty of high Roman numerals.
The new guy would be Pope Super Bowl LIV
Since they can gave multiple names we should amend your suggestion:
Pope John Paul George Richard (Ringos real name).
Pope Epants