How can I get a working VISA for the United States?

I am swedish and have visited the states several times using the normal “tourist” VISA that gives me three months worth of staying without questions asked. I have heard hundreds of rumors about applying for a working VISA and/or a “green card”. Can anyone de-mystify it all for me and maybe even help giving me some options. I am a musician and there is something called “artist of extra-ordinary talent”. which is?