I’d like to reiterate this wonderful suggestion when it comes to the Imperial March in ANH:
I still think it’d be nice to add a bit of the Imperial March to the scene when Vader arrives on the Tantive, though that would mean replacing a small bit of original music.
I already created a brief edit to show what that might look and sound like. It’s minimalist, but it works.
I am absolutely 100% totally on board with this.
With that said, I don’t think the Imperial March should appear anywhere else in the film, unless Vader is on the screen.