In Blindsight, vampires have epilepsy triggered by right angles. That explains both the aversion to crosses and the inability to go through a door uninvited.
In https://en.wikipedia.org/wiki/Dracula_(2020_TV_series) the writers decided to basically write religion out of the Dracula story, and made it that he is afraid of sunlight, and the only reason he cowers from the big bronze cross is because it is reflecting sunlight at him.
I enjoyed Dracula's origin in the "Dracula 2000" film; not going to say what it is to avoid spoilers, but it's very religion-centric and explains in great detail why Dracula is affected by the things he's affected by.
FWIW, I like the concept in the book 'I Am Legend' where the vampires are repelled by religious symbols that are meaningful to them, rather than any religion in particular.