Leghorns are the classic example of a non-setting bird. You're right about that.
I can't think of the names of others off-hand, but if you go to any of the large hatchery websites, their on-line version of catalogs will tell which are non-setters and which tend to go broody and 'make good mothers'. For example, try McMurry or Meyer.
-maureen
Edit: maybe Brown Leghorns, Black Star, Golden Buff/Comet. But I'm not an expert.
Americanas are typcally not very broody. I have 4 or 5 hens that are about 2 or 3 and only 1 went broody for the first time a few weeks ago. She sat on eggs for about a week and decided that was enough and off she went. They also add some nice diferent colors for your flock. Not to mention if you get chicks they all look different. I have herd of some going broody but I think with all breeds you will have that rare hen that will go broody no mater what. Good luck in finding the non broodies. Jenn
Most production types will not go broody... pretty much any production bird not bred for beauty probably won't set. There are always exceptions though!
Rhode Island Reds rarely will go broody. It happens on rare occasion but it is not common. My barred Rocks did not go broody either and they are lovely chickens. Check out this web site it tells about many breeds and is helpful in choosing a breed to fit your needs. http://www.ithaca.edu/staff/jhenderson/chooks/chooks.html