Well, this was the topic that finally forced me out of lurking and to register. First post here, yay!
First of all, I think a cult movie is one that does not have a mainstream following or appeal, but neither is it completely forgotten by everybody. Like prlation86 said about The Rocky Horror Picture Show screening and cult following it has, there are people who see a cult film as something brillilant, for whatever reason may be.
As for my cult favorites, some of them have already been mentioned, others surprisingly not. But maybe there aren't any Hong Kong Kung Fu movie friends here :) Anyway, off the top of my head:
36th Chamber of Shaolin, the cultest of them all of kung fu
Drunken Master, another classic, this one with Jackie Chan
Bride of the Monster, now, who can match a movie with lines such as this?
"Prof. Strowski: Now I am here, sent to bring you home.
Dr. Eric Vornoff: Home? I have no home. Hunted, despised, Living like an animal! The jungle is my home. But I will show the world that I can be its master! I will perfect my own race of people. A race of atomic supermen which will conquer the world! Ha ha ha ha ha ha!"
While you're at it, you can add other Ed Wood films to the list as well.
5th Element is one of my all time favorite movies, but I'm not sure I'd consider it a cult movie.
Monty Python and the Holy Grail is a definite must, none can pass their crazy ingeniousness.
Quatermass and the Pit & Quatermass IV, the only ones I've seen but both are brilliant!
Coen Brothers have made many of my most favorite movies, so I'll just toss in one title here, Barton Fink.
I don't know if you can consider Kurosawa films cult, but in case you can, Seven Samurais and Yojimbo are among my favorites, as is Derzu Uzala. Some may consider them rather artsy, so your mileage may vary.
And one last mention: Little Shop of Horrors.
And this concludes my first post, that's all folks!
