Buff Orp, Barred Rock, and Australorp are the three friendliest. Our particular BO was adopted and too old to lay, but the others laid extremely well! Our RIR had feather picking problems and I've heard other peoples' do the same...
I had RIR a couple years ago, and I agree 100%. The roosters were the meanest things. They would just spur you for no reason. I did have a barred rock hen, and she ,was friendly, but no where as near as how friendly my Brahmas are.
Weird! ALL the Barred Rocks I've met have been soooo calm, even if they never got paid attention to. Like at the stable I ride at, most of the birds are terrified of people, but the BRs will just let you pick them right up! Plus they all have that adorable high voice...
My RIRs are sweethearts. One will snuggle at any moment she's picked up and will fall asleep in your arms. The other one is very curious during the day, but if I go into the run near dusk, she'll tap me on the leg until I pick her up and pet her. Both were handled a lot as babies and onward.
As far as egg laying, in their first year of laying, I got 307 eggs from one and 301 from the other.