Diablo III was released this morning at 12:01 PST.  I stayed up and tried to log in but servers were busy.  That was 2:00 am my time, I had a big nap.  After 30 minutes I gave up and went to sleep. This morning 6:00 am on the second try I am in and playing with no problems.  Others seem to be having some issues as Google Plus is full of error 37 (Server Busy) jokes.

I played the beta that went through the first chapter.  I have passed that already in a couple hours of play this morning.  I admit I like the archer character so far.  I played the wizard during the beta and that was fun too!  A more in depth review after some more play!

Works for me