The values of manure and organic fertilizers in general, are often based on the relative amount of nitrogen (N), phosphoric acid (P) and potash (K) they contain.
Some common types of manure compare as follows (in N/P/K terms):
Chicken: 1.1/.80/.50
Dairy Cow: 25.25/.15/.25
Horse: .70/.30/.60
Steer: .70/.30/.40
Rabbit: 2.4/1.4/.60
Sheep: .70/.30/.90
(Sources: Rodale's All-New Encyclopedia of Organic Gardening, An Illustrated Guide to Organic Gardening, by Sunset Publishing, and the Rodale Guide to Composting. via http://www.plantea.com/manure.htm)
Horse and cow manure are also humus-rich while sheep manure is easier to handle (http://www.vegetablegardener.com/item/2427/using-manure-to-fertilize-your-garden). Dairy cow manure is often favored over other types of fertilizer, as it is low in nutrients and can be applied in endless quantities with no detrimental side effects (http://www.lawncare.net/stay-green-with-manure-fertilizer/).
You also have to take acidity into account. Acidic manures are great for fertilizing tomatoes, but not what you want for carrots or something else, for example.