Final Fantasy X: Not a movie, but if you managed to play through this without that music getting to you, you have no heart at all. It's got a heck of a lot more story than most movies, and it's a far better romance than Hollywood could manage.
http://www.youtube.com/watch?v=GHYhRz-ZFss&feature=related
As well, master and commander is an obvious choice for many reasons.
Lord of the Rings had a wonderful soundtrack. I am particularly fond of the Rohan Theme. All the music was great, but this one stands out above the rest, in my opinion. You can't find the real version on Youtube anymore, though.
As well, I was always fond of the songs in Muppett Treasure Island.
http://www.youtube.com/watch?v=YvUbbYX9BMs
Laugh all you want, but you can't say you didn't enjoy that.
Cheers,
Kennith