Brendan and Iveta are the most stylish dancers that we have ever had on this show, and it would be obvious for them to do a professional demonstration. I would suggest a waltz segueing into a rumba, and these are my choices for the tunes:

Although I am not a VIP I am getting to be a VOP, and I remember a waltz which was practically standard to be played in championship finals even before Moon River appeared. (They didn't have vocals in competitions in those days but this would be acceptable now).

Fascination - Nat King Cole
https://www.youtube.com/watch?v=Zg2H1Ou5bYU

And this the rumba:

AMOR, AMOR, AMOR QUIEREME MUCHO E AMOROSAMENTE
http://www.youtube.com/watch?v=Sy1pwC-p08w

I don't suppose it will ever happen though - it would be considered too old-fashioned and highbrow for this show.

Nowadays sadly yes - earlier series had a lot more professional showcasing. And no one popped out of a cake.

Anton and Iveta would be better.

Anton better in a Rhumba? No.

Quite right BruciesChin, Anton and Iveta are better, their show dance was so beautiful it really moved me.