I have only owned one Kawasaki, a FR691v V-Twin in a Husqvarna GT54LS, and numerous Kohler V-Twins, 7000 series (I own 2 currently) and Courage series engines. In my short time having a Kawasaki V-Twin, I instantly grew to like it more than any of the other brands that I had experienced (Briggs and Kohler). If I were to rank the "Big 3", and keep in mind that this is strictly based on my experience with the V-Twins, it would go like this:
#1 - Kawasaki (FR691v)
#2 - Briggs (any 44ci, 724cc engine)
#3 - Kohler (7000 Series)
#4 - Kohler (Courage Series)