I took the OP to be asking about truly iconic movies - ones that really permeate the culture, become household names, spawn countless imitators and lines of dialogue that are referenced, homaged, quoted (and misquoted) ad nauseum "Make him an offer he can't refuse"/"I love the smell of napalm in the morning") and have these incredible stand out scenes that transcend the medium and will get parodied and meme-ified til the end of time.
My take is that while many magnificent films still come out every year, they just don't reach the kind of audience and cultural saturation as in the days when films could run in the cinema for an entire calendar year. I'd also hazard a guess that most people tend to rewatch movies a lot less these days, as there's always something new and shiny to dig into. Media is generally more disposable nowadays, and I'd speculate that cinema's days as the dominant form of media are on the way out.
I think the kind of thing the op is specifically asking about died out at the tail end of the 90s, with films like Titanic, The Shawshank Redemption, Good Will Hunting, Jerry Maguire, Pulp Fiction and The Usual Suspects being among the last few I can think of that really fall into this category. With the possible exception of Titanic, those kinds of films either wouldn't get made today or would be made as indie movies only seen by a tiny audience. Parasite was great no doubt - and a moderate box office hit - but I doubt the average man on the street would have even heard of it.
The closest modern phenomenon that comes the closest to that kind of pre death of monoculture cultural footprint would be something like Game of Thrones, and that isn't a movie.
