Yes you still have to register for the Selective Service, I am too old for it myself but I registered in 1998 when I graduated.

These days it is tied to your drivers license, at least here in Alabama it is. When you sign your DL card, you are signing up for the draft. I'm not sure if this is nationwide or not but I'd imagine it probably is. Check your DMV the next time you go, it will be posted on their announcement boards.