I think I probably love nearly all the chicken breeds out there!!!
However, some I find prettier, friendlier and more hardy than others.
Plymouth Rock: Brown eggs, good size, docile and calm, great foragers, come in a variety of colors, curious, do well in a variety of climates. My Rocks include Dominator (my top room barred), Liberty (his hen, one of my first chickens), Vanda (Silver Penciled), and Shirley (Partridge Rock)
Australorp: Don't own them yet, but I hear they are one of the friendliest, best laying, most beautiful birds out there. I really want to get some. They lay brown eggs.
Buff Brahma: They use to be my favorite breed, and I still love the color, but I found they were not as friendly (so far, only 3 weeks in) compared to some of the other breeds. I own two, Bubs and Galadriel.
Red/Black Star: Friendly, great layers, beautiful, I really want a Black Star. My Red Stars have proven not that hardy, but are wonderful pets and layers. Maroon is certainly one of my favorite hens, very curious and healthy. However, I lost one to egg binding and three to a disease that took them and none of the other breeds. I find they are more prone to health problems then other breeds.
Buff Orpington: I hear a lot of great things about them, but I've only really worked with two (raised a few more for meat). Ellesar was my second-in-command rooster and was shy because I hadn't tamed him, but not mean. He was very handsome. Wynona is my 3 week old BO, and she is proving very calm and friendly.
Easter Egger: Beautiful, varied, love the eggs, great foragers, love the beards, and did I mention I loved the eggs? I only have one, Eagle, and she isn't that tame, but she comes right up to me for treats.
Speckled Sussex: I finally got one, and she is so friendly. She is only 3 weeks old, but is already pretty and loves to perch near me and greets me when I come to her. She will jump onto my hand to sleep and sit on my lap. Her name is Captain.
Bubs is in the middle, hoping for a treat (Buff Brahma)
On the right is Wynona, my Buff Orpington, with her "sister" Scarlet (a wyandotte)
Ellesar, the Orpington rooster
Captain, the Speckled Sussex (hasn't quite got her speckles in yet)
Dominator and Liberty, both pure barred rocks. The other barred hens are all his daughters.
Queen, a red star that suffered an illness that nearly took her life but has since made a full recovery (she was growing back in her feathers here)
I like my two OEG bantams, they are just so tender about how they care for their friends/chicks/hens
Silkies are prone to head-injuries, predation, and other problems, but I just love how fluffy and friendly they are. And they certainly make the best of broodies.
The alarms are all going off and its really storming here, so this has to be quick.
Australorps and Barred Rocks are good laying pure-breds. Black Stars and Red Stars lay over 300 eggs a year on average. Leghorns lay about 300 eggs if kept correctly (right lighting, feed, ect).
Funny you should mention Black Sex Links as I was going to post them as my favorites (although they are hybrids and not actually a breed). BSLs are my personal favorites because they are friendly and hardy egg laying machines. I raised them for years (along with dozens of other breeds and hybrids), and they have been my best layers, consistently churning out more than 300 large, brown eggs per hen per year. My Red Sex Links and White Leghorns have also had similar lay rates, but my BSLs have actually outlayed them slightly in really cold winter weather and have tended to lay the largest eggs of the three with double yolks not being uncommon.