My Speckled Sussex is by far my friendliest; she's also the most beautiful of my girls. However, she is not a great layer (4-5 eggs per week last summer; she molted in October and has yet to resume laying). I tell her all the time that she's lucky she has other charms.
My best layers are generally my least friendly chickens - my Easter Egger (who was unfortunately killed by a dog a couple of months ago) laid 6-7 per week and only took 2 weeks off when she molted, but she was flighty and not fond of being handled; my Rhode Island Red has only taken three days off since she started laying, right before Christmas (during the shortest days of the year!), and she's quite stand-offish as well.
YMMV
My best layers are generally my least friendly chickens - my Easter Egger (who was unfortunately killed by a dog a couple of months ago) laid 6-7 per week and only took 2 weeks off when she molted, but she was flighty and not fond of being handled; my Rhode Island Red has only taken three days off since she started laying, right before Christmas (during the shortest days of the year!), and she's quite stand-offish as well.
YMMV