Dude, this is hard.
I love both the Duran Duran and the Hall and the Oates. I've written about both on the blog. Let's examine this issue closely.
First, I give you THE BEST VIDEO OF ALL TIME, "She's Gone" by Hall and Oates. This video has everything (read in Stefon's voice): Oates in a Chippendales outfit, playing his guitar solo like a penguin; Daryl Hall looking like a stoned David Bowie in a formal robe and socks with sandals; cigarettes and a flask on the ottoman, some woman walking through the video like a ghost, Daryl acting like he's too good to sing his solos, and is that Liza Minelli? no, it's the Devil walking around in sequins! Just when you think it can't get better, Hall and Oates are throwing Monopoly money around like it's the worst strip club on Park Place.
As a rebuttal, I give you Simon LeBon playing Drunk Indiana Jones in Duran Duran's "Hungry Like the Wolf."
I know, Simon wrestling with a painted woman in the jungle is a valid arguement, but Your Honor, did Duran Duran release a Christmas song? Actually, kind of, they appeared in the single "Do They Know it's Christmas" with a lot of other musicians as Band Aid.
Objection! Hall and Oates had "Jingle Bell Rock." The Prosecution rests.
I don't know when this became a trial, but as judge, jury, and dj, I award Duran Duran the winner because they sang "Notorious" and when I saw them sing it live last year it was amazing.