The web player shuffle simply does not work. It will work for a few songs, then it will start over from the beginning - playing the first song of the shuffle and continuing to play the same songs it played earlier in the same order. This makes it impossible to use spotify for parties, etc. when it plays the same songs over and over.
For example - wanting to play a playlist of 100 songs on shuffle. Selected "Bohemien Rhapsody" and clicked "shuffle." It will play maybe 20 songs on shuffle, then will go back to Bohemien Rhapsody and play all the 20 or so songs it previously played on shuffle in the same order as before, not touching the remaining population of songs.