Are there other websites like Pandora.com or iheartradio.com where you can put in bands or songs you like and they recommend and play songs/bands that are similar in style?

LivePlasma

And for giggles:
Drinkify , which will match up what you’re listening to with an appropriate drink.

Spotify

@rebbel You’re looking awfully like Fidel Castro right now.

@janbb Is that a compliment? ;-)

Sure – I love dem commie dictators.

Grooveshark.com

You can make / choose a “radio station”, or simply search for the artists, albums and tracks that you want.

Aol Radio has an App. I don’t know if it has a website though.

Janga or jango. Something like that.