Has anyone said Bela Lugosi yet? I am probably missing someone's post, so, sorry about that. If so, I will just reiterate that he was in Dracula, of course, and also Son of Frankenstein, The Wolf Man, Frankenstein Meets the Wolf Man, etc. You could absolutely say that he was in the Dracula, Frankenstein, and Wolf Man franchises. He was also in at least one movie with zombies... zombie movies are more of a sub-genre than a franchise, but worth a mention. He was also in more than one Edgar Allen Poe-themed movie. Those aren't QUITE a franchise, but pretty close... I feel like there should be some name for whatever EAP movies are, collectively.
https://en.wikipedia.org/wiki/Bela_Lugosi

https://en.wikipedia.org/wiki/Bela_Lugosi_filmography

Lin Shaye? Amityville, NoES, Critters, 2001 Maniacs (it had a sequel, does that make it a franchise?), Ouija, The Grudge, and Insidious. https://en.wikipedia.org/wiki/Lin_Shaye