My OEG hens are by far the friendliest chickens I've ever had, in twenty years of raising chickens. They actually come up and ask to get picked up! They are always chattering and talking to me. I haven't done anything special to make them tame as far as handling, either.
I have a couple of production red Pullets who seem like they may be pretty gentle but they're only six weeks old, so a little early to know for sure. Another breed I haven't seen mentioned is naked necks. They are very gentle, even the roosters. They lay huge brown eggs, are hardy, do well in heat and cold and never fail to get comments from visitors who think they are a turkey chicken hybrid or something.