For 20th/21st century music you could do some of Carl Vines shorter pieces. I don't think you can find any recordings besides the sonatas in YouTube so you would have to buy an iTunes album. I think some of them are quite accessible and would be a great audition piece.What else... You could always do something by Bartok.
i think there's a jiggy ver of the bagatelles somewhere i remember ripping them a long time ago. will see.