Choose a music site to create your playlist. Sites with this ability include Mixpod, Playlist, Deezer and Hypster, which all contain different artists and songs. Take note of the site's usage requirements; while Mixpod doesn't require you to register, other sites require you to create a free account before listening.
Search for the music you want to hear. You can search by genre, artist or song title. If you can't find what you're looking for, try a different music playlist site.
Add the tracks you want to your playlist. Each of these sites uses a "plus sign" you click to add a track to your current playlist.
Edit your playlist order. You can click and drag songs saved to your playlist in order to come up with the sequence of songs that pleases you most.