I have three young boys (ages 2,4,8), and needed very friendly birds, but did not want to sacrifice egg production.
We got 15 Speckled Sussex, 1 Australorp, 1 Buff Orpington. The Sussex are by far the friendliest of the three breeds. They climb into our laps, onto our shoulders and love to cuddle. The Buff Orpington is next, but she is shyer than the Sussex. She's starting to get better, but the Sussex have no qualms about jumping up and greeting you and are always hanging around your feet to see what you've got going on. I find the Australorp to be the least friendly of the three breeds. She's simply does not really come to greet us and always hangs back. She doesn't look for hugs, and hangs out at the perimeter. I plan to rehome her since she really hasn't wowed us like the Sussex.
Keep in mind that each bird (like a human) is an individual and their own personal personalities will vary--I simply got these three breeds because they were considered to be some of the friendliest/most docile in general while still producing a lot of brown eggs.