Funny how much temperament and production can vary. The SS we have is only an okay layer. And while not afraid of people she isn't overly friendly either. Not sure I'd be in a hurry to get another.
The Welsummers we had years ago were good layers but very standoffish. I much prefer the current batch of brown Leghorns (yes, Leghorns) - same look, better layers, and more people friendly. Really. I'm sure the last is an anomoly but that is my experience with a small sample of the breed.
EEs are always fun. None look alike. The Australorps we've had have been good layers and fairly human friendly.
The OP mentioned a less than optimal experience with barred Rocks. I dislike barred birds. Luckily Rocks come in other varieties, and we have 2 whites. Well, they should be white but right now they are half mud colored. They are very good layers of XL eggs and they are annoyingly underfoot. Other people-friendly good layers we have had are Brahmas (we have buff), Buttercups, Minorcas, Orpingons and black sex links.