Duel of the Fates, Across the Stars, Battle of Heroes, Anakin’s Betrayal, the Trade Federation march (I don’t know what it’s called), and whatever background fanfare plays when they’re on Coruscant. You know the one I’m talking about.
Plenty. John Williams is on point throughout these films, and I’d argue that there’s a lot more recognizable themes in the prequels than there are in the original trilogy. In terms of how they’re used in other media, the original trilogy’s music tends to be used when there’s need for general Star Wars-y music, while the prequels’ music tends to be used to convey a very specific mood correlating to the scene.