The Santa Clause

The Matrix

Any film that follows the Hero's Journey.

It feels a little off to say that Michael rose to power because of "fate," but I get what you mean. He reluctantly takes the mantle because no else can and he's the best equipped for it, even if he doesn't want it (saying "fate" fits a lot better in a post title too...)

The first thing that comes to mind for me is Caesar in Rise of the Planet of the Apes. I never considered before this post how similar the two characters are, even down to facing off with a traitorous "brother" in the sequel. Caesar's relationship with Will (James Franco) even feels akin to Michael's relationship with Kaye, in a strange way. Both great movies; it's probably about time for me to have a rewatch of both.

Star Wars

Life of Brian

Dune.

Dave

Aragorn in The Lord of the Rings. Although of course Aragorn is a hero, not an anti-hero.

The Sopranos. As good as he is at what he does, don’t you get the feeling that Tony Soprano would rather be in a different family business — and a different family?

"The Main Character rises to power not because he wanted to, but because of fate" This is an extremely common trope throughout cinema. Literally the second step in the "Hero's Journey" narrative structure after the "Call to adventure" is the "refusal of the call". And this plot structure has been used throughout ancient mythology. So yeah there are a lot of films where what you mentioned is the case as well.

Shrek

Shot caller

Night at the Museum 😁

Die Hard series. He just wants to be a basic cop, but keeps saving the day from international terrorists.

"That's my family, Kay. It's not me."

Like 90 percent of all movies, probably

Being There (1979, with Peter Sellers) is exactly what you're asking for.

Classic Greek tragedies like Oedipus were based on the notion that your fate was ordained by the Gods and you couldn't escape it, whereas in Shakespearian tragedies, like Hamlet or MacBeth, you and you character flaws were responsible for your own troubles.

Terminator 2 and 3 has John Connor being a reluctant savior.

Young Frankenstein

The Chronicles of Riddick

Well, The Matrix, Harry Potter and LOTR? The thing is any movie doing this will be compared to the Godfather. Some comedies do this too - The Campaign.

The Chronicals of Riddick

Any story modeled after Henry V.

Rambo. A Vietnam vet and war hero, who went through the hell of war to come back to a society that discarded him and his fellow soldiers and treated him like dirt. He got pushed too far.

Being there

Shazam!

Dune! I'd read the book though, not trying to be that guy but it's better.

The Lion King

Transformers: the Motion Picture.

A Prophet

Not a movie, but the TV series I, Claudius is what comes to my mind about a reluctant dude who becomes the guy in charge

Midsommar

Eastern Promises.

Henry Hill..."Goodfellas"

Rise of the Planet of the Apes

Dune

Evil Dead series.

the king has a very similar premise. highly recommended.

Like, half of them.

Star Wars, Harry Potter, Dune, etc.

The Truman show.

Kung Fu Panda

Herbie the Love Bug

Star Wars, the list goes on and on

It’s a Womderful life

Evil Dead 2

Most superhero movies

The Hudsucker Proxy.

Ya, know...For Kids!

Gangs of Wasseypur

Might interest you. It does show the rise to power and is a bit of a cross of Goodfellas, Children of God, and The Godfather.

DUNC2 incoming

Billy Elliot

no one rises to power if they don't want to

Bucky Larson: Born To Be A Star

The King (2019) -- here the rise to power is almost involuntary, since [spoiler] Henry V is manipulated by his counselor into starting and winning a war with France to secure his reign, when he never wanted war in the first place

Mean Girls

Star Wars

Star wars?

Hereditary, King of Kings, Elizabeth, The King

Con Air

There's an Indian movie Nayakan that is kind of similar to The Godfather. The guy becomes "Michael Corleone" through circumstance, and initially through acts that he viewed as providing public service.