Play Misty for Me 1971 american film directed by Clint Eastwood.

A radio journalist suffers the morbid attentions of a fan of him.

The Fan 1981 american film directed by Edward Bianchi.

Sally Ross, a 50-year-old Hollywood diva is haunted by a fan of hers.

The Fan (Original title Der Fan) 1982 German film directed by Eckhart Schmidt.

Simone is a teenager madly in love with her favorite singer R and will begin to haunt him.

The fan 1996 american film directed by Tony Scott.

Bobby Rayburn is a baseball ace recently signed by the San Francisco Giants.
Gil Renard is a salesman of knives with problems with his work and his family and is a fanatic of Bobby, from whom he expects all the good possible, including the championship.

So he begins to persecute him.

The Fanatic 2019 american film directed by Fred Durst (the singer of Limp Bizkit).

Moose is a big fan of actor Hunter Dunbar and will begin to haunt him.

There will be many more movies in this subgenre, I'll update as soon as I can think of more.