So, the OP seems to have branched off into two streams of discourse.
That is, the popularity of American Country Music around the world; linked to the ongoing investigation of Murder on Music Row. In fact, I’ve expounded on the topic in several threads of the past. (Generally, replying to OP’s asking “Why does country music suck so much?” Answer: “You haven’t heard the good stuff.”)
If the OP really meänt “do other countries have their own ‘country’ music?” the answer is Yes. We don’t have to go far to find the ranchera music of Mexico. (In Houston, you don’t have to go anywhere; just turn on the radio.) You don’t need to be a graduate linguist to figure out that’s the music of the rancho.
Wikipedia has a pretty good summary. Including this book title, in which the obvious is belabored in a very Germanic fashion: Música ranchera. Das mexikanische Äquivalent zur Country and Western Music aus historischer, musikalischer und kommerzieller Sicht.