There are many different websites when it comes to music and playlist players for your homepage, but I am only familiar with two. You will need to register in both websites to save and emb. your playlist.
Mixpod- The music collected here is only based on youtube videos, but you have a choice of player layouts.
Registration: (
http://www.mixpod.com/signup.php)
Playlist- The music collected here is based from different websites and have a good sound quality, but may not include some types of songs and only has one layout.
Registration: (
http://www.playlist.com/user/register)