I guess some people like to kill for what they call sport. I certainly did a lot of sport killing when I was a kid, but I grew out of it and now I get sad when I see animals killed or mistreated for no reason other than to sight in a rifle. I still shoot, but limit it to targets and competition from target to "turkey/ham" shoots. It takes skill and a lot of experience to reload shells to win in competition.
Coyote, wild hog, skunks, prairie dogs and to an extent armadillo's.
We got rid of the prairie dogs here years ago. They destroy grazing land and break horse and cattles legs by stepping in the holes they make.
Coyote kill livestock and small game. They spread the mange and rabies.
Skunks, get one of them under your house or spraying your dog, not to mention the rabies.
Wild hogs, destroy crops and grazing land and multiply at alarming rates.
Armadillos are no major threat, but, once you get one of these guys around your house, they root and dig and you can't get rid of them. They also carry Hanson's disease.
So, if you have a better way to control these nuisance varmints, myself and thousands of others would like to know. We are their only predators and something has to keep them in check.