Spiritualized - Ladies and Gentlemen We Are Floating in Space

Do you ever have this song that you randomly encounter out of the blue one day, but you're SURE you've heard it somewhere before, a long time ago?

This is one of them. Especially that ending, where it fades to a beautiful cover of "I Can't Help Falling in Love".

I've learned a little bit afterwards that the song was used as a soundtrack for Vanilla Sky, but I never remembered ever watching it.