First thing that popped into my mind.
Aside from some of the ones mentioned above, I think these two set the scene beautifully for the films that followed:
The Great Escape
***The Train***
The combination of music and cinematography makes them unforgettable. The look on the Frenchwoman’s face as she watches the art treasures being packed tells a story all by itself.
I would also like to add Bullitt. Yes its dated and old fashioned but I love Lalo Schiffrin and I love the direction. People tend to think Bullitt is a typical American police procedural wrapped around a car chase. The film is much more. Yates and D’Antoni gave a Euro feel to it and afaik it was shot completely on location.
For those who aren’t using Tapatalk, you are missing out on some great imbeded images. 
Yeah, North by Northwest is a favorite.
For music PLUS animation I really love Casino Royale (1967). The whole movie is a great link between early-sixties Sinatra-cool and late-sixties psychedelic-cool. And the title sequence bridges them perfectly.
I was going to post this. First title sequence that ever made me sit up and pay attention.
Add me to that list! One of my favorite movies anyway, but that opening really stands out for me.
BTW, do you know the connection between “Bullitt” and James Dean?
My faves as well. Especially Se7en.
I always liked the opening title sequence in Tombstone. It was … concise.
A Touch of Evil with it’s uninterupted opening shot under the credits
I really like the video montage of land- and cityscapes from Up In The Air.
The Naked Gun opening still makes me laugh, even though its style has been copied countless times since then.
The Goonies has an awesome chase sequence during the titles, but it also introduces almost all the characters and gives a sense of who they are.
Catch Me If You Can has a great animated title sequence that has a style and pace that fits the time period and mood of the movie, and it’s plain fun.
Monsters, Inc. with the doors is cool and has a cool song.
I’m partial to this one
and **this one**Vertigo (Saul Bass again)
To Kill a Mockingbird
I don’t 
To Kill a Mockingbird is phenomenal.
The opening to Contact is stellar, too.
Those credits, backed with that incredible theme song, really made the movie work.
I second Deadpool.
I’ve always liked the opening of “Waterworld” where the Universal Studios logo is used to illustrate the rising sea level.