When it comes to English bulldog, I don't think there are broken down sub groups. It's all genetics. Some have larger heads and more wrinkles while some do not. The American Bulldog was bred to better the health of the animal. It's taller with a bit of a smaller head and a longer face. Because of this, the American bulldog has less breathing problems and females can give birth without surgery.
The English bulldog is quite strange. It is 100 percent manmade, and not neccessarily for the better. It has health problems and goes against natural evolution so to speak. We love them to death anyway though!
I think you just tend to like the fatter faced, more wrinkley kind.