What is a parody that was done so well that most people to this day don't realize it was a parody?

Any good examples of this? A movie parody done so convincingly or subtle enough that most people don't even realize that it was meant to be satire?

My wife and I were watching that Kristen Bell Netflix spoof series The Girl In the Window etc. Somehow she had no idea that it was a parody of the genre (seemed pretty blatant to me, from the title alone lol). So it got me wondering about other movies that are actually not known to be parody but in fact are.