Nope, there are no breeds of wool sheep that shed (or if there is they're extremely rare and i've not heard of them ). but hair sheep shed out and still have hair/wool under what sheds out. but hair sheep shed out and still have hair/wool under what sheds out.. This is a list of domestic breeds of sheep.domestic sheep (ovis aries) are partially derived from mouflon (ovis orientalis) stock, and have diverged sufficiently to be considered a different species.. domestic sheep breeds. sorted alphabetically.. The sheep breeds referred to are those that shed their fleeces and/or have fleeces that are wholly or partly kemp or hair. some of these sheep have coloured fleeces. the dohne merino, the south african meat merino (samm) and the afrino are relatively new to australia but are not included because they are wool producing, non-shedding merino sheep.. Katahdin sheep | ewe win All about sheep and goats Sheep breeds for fiber, meat, or dairy - countryside net