The one quote that got me to watch a movie the most over the past couple years is...." Squeel boy, Squeel like a pig!"
I kinda knew this would happen when u asked about "classic" movies, some people go to Casablanca and Gone with The Wind and others will go to Spaceballs and Predator.
I think that each time period has its own handfull of "classics" that people are always going to remember and quote.(usually being a wiseass or kidding around)Example: Ill call my bro up and leave a message on his voicemail and alls ill say is," Get to zeee Choppah!",and he instantly knows its me and im quotin Predator with Ahhhhnold.
I know that movie quotes have played a huge part in my life with my family because we built,started and ran a family video store that was very successfull for years. Ive watched sooo many friggin movies it would make ur head spin.(Plus all the free porn i could swindle out of the office,Ha!)
Heres a couple of my favs...
Horror-- THE TEXAS CHAINSAW MASSACRE(The org. 1st one directed by Toby Hooper) There was just somthing about Leatherface that was perfectly terrorfing,and it still gives modern horror movies a run for there money.
80s Brat Pack-- BREAKFAST CLUB, I dont have any of these in my collection,but this one right here always leaves me feeling all highschooly and wondering where Emilio Estavez is now lol.
Drama/Thriller--- SILENCE OF THE LAMBS, Anthony Hopkins and Jodi Foster really bring superb acting and a awesome story to life with this one. QUOTE, " Its puts the lotion on its skin,or it gets the hose again".
Comedy --- MONTY PYTHON AND THE HOLYGRAIL, If your talking quotes this movie right here has been a staple movie to bust out multply quotes at any given moment and most everybdy knows where it comes from. The humor some people just think is stupid,but it will always be a quote classic.
Book/Drama--- SHAWSHANK REDEMPTION, written org. by our own Stephen King(master of horror) comes a movie that i cannot pass up flippin channels. Tim Robbins and Morgan Freeman and other cast with a solid storyline make this one a must watch(i dont care who u are,if u havent seen it...)
cult/comedy--- CHEECH AND CHONG UP IN SMOKE, Cheech Marrin and Tommy Chong blaze the way onto the silver screen with this one, and its got quotes aplenty! One of my alltime fav. movies from the younger daze

" im smokin dog**** man?"
I could go on allday like this theres just alot of "classics" out there for sure. Oh and another thing as youve prolly allready found out, your classics and sombodys elses might be completley different. I think everybody has there own personall.