There were some coyotes out where I lived too a while ago. Pets started going missing and the only things anyone ever found were their collars. None of mine went missing, though.
All of the cats my family has had seem to have died in strange ways. One got into the flooded basement of the abandoned house next door (No longer abandoned, recently bought and turned, now a couple that hates each other and their college-age son with a baby live there) and drowned, one got killed by a hawk (That one was crazy, it came into the house with a gaping hole in its side and a punctured lung), one had some kind of spinal infection, one had a brain tumor (That was the only cat I've actually liked. He was a douchebag, but a nice kind of douchebag), and one died of some kind of aggressive infection. That last one should have been put to sleep a long time ago, but my parents didn't want to hurt my sister by doing it. They'd rather spend thousands of dollars on a filthy stray cat that wandered into garage one day and started eating our food. Not even the doctors knew what was wrong with it. There was some kind of huge sore on its side that would heal and then come back, over and over. The cat didn't seem to have a problem with it, so nothing was done, although one vet wanted to do a paper for college on it. Eventually whatever the infection was got into its intestines and killed it. Good riddance, I hated that cat.
My dogs have all died much more peacefully.
EDIT: You know, when I list all of them in one place my house kind of seems like some kind of Cat Meatgrinder. I assure that these deaths occurred over the course of around 12 years. It's not like this all happened last month.