Oh man, if you haven't watched one since then, you missed the whole run and eventual fall of parody movies that propped up in the late '90's & early '00's. Not that they were as good as Airplane, but it was a fun ride till it sucked.
Personally I enjoyed the first few movies in the Scary Movie series, Not another teen movie, and Don't be a menace to south central while drinking your juice.
But then we get to stupid crap like Epic Movie and Disaster Movie and Superhero Movie. All entirely forgettable and just trying to cash in on the success that the Wayans brothers had with the original Scary movies
Honestly you haven't missed much, but there are a few movies in that genre I still go back to every now and then.
It was more of a joke - I have seen those 90s-2000s parodies. They were somewhat funny at the time but I don't think there's an audience for them today. But I guess we'll see?
I would also add Walk Hard: The Dewey Cox Story and Popstar: Never Stop Never Stopping as great newer parodies. The first, starring John C. Reilly is a spoof of Walk the Line and music biopics in general, the second a spoof of Justin Bieber: Never Say Never and popstar documentaries in general, starring Andy Samberg. Both movies were box office bombs unfortunately, despite being really funny and also having actually great songs.
On balance I reckon you should keep it that way. I somehow got dragged along to see Epic Movie when it first came out in cinemas and it is the worst film I've ever seen by a country mile.
The first one was good, the second is also pretty good. The third has some moments but they pretty quickly nosedived in budget and quality. I don't think a single one of the other genres was worth even revisiting out of morbid curiosity.
I loved 3, liked 4, and was really disappointed by 1. Skipped 2 and anything after 4.
Turns out, after 2, the Wayans brothers stepped away and David Zucker directed with Pat Proft co-writing, which gave it a lot of DNA from the glory days of Naked Gun and Hot Shots!