Playing Brahms' Lullaby on the ukulele illustrates the magic of this little instrument. Even a simple version of the song sounds very pretty on the uke.
My favorite version of the lullaby is an easy arrangement by Roger Ruthen, available for free on his site, PDF Minstrel. I don't have a recording of his arrangement, but you can listen to another lovely version in the video, played by SungHyung Kim.
Playing fingerstyle ukulele, with information about the songs and where to find the ukulele tablature so that you can play these songs yourself.