Okay, so let's get a pro in here on this...
Aside from other cats, possums are #1 when it comes to eating cat food.
Raccoons are more partial to meat scraps and shiny things.
DO NOT PUT OUT POISON!!! You will probably involve a few neighbors' cats, and if I find out it was you, I will track you down to all 72 corners of the Earth. So...
Set a trap. Catch the bugger. I have mellowed in my later years. Years ago, I would have simply shot them. I now trap them, pick them up and pet them, and then take them for a ride into the country, where I then turn them loose.
Possums do NOT carry rabies! Their body temp is 3F too cool to contain the virus. Never be afraid of a possum. It's the coons and skunks that concern me.
Skunks are really friendly, so it can be hard to tell if they are looking for a handout, or trying to kill you. Just avoid them if you are unsure.
Raccoons are typically nocturnal, so if you see one during the day, be aware! A few years ago, my neighbor called me about a coon trying to open her front door. I grabbed my 9mm and hotfooted it down the street. We had a close encounter, where I talked to it, and it shrieked at me just before it came towards me...
On the phone with 911 at the time. First shot fired through the chest. It looked at me and blinked, like "Why did you just do that?" That is a confirmation, my friends. If you ever shoot something or someone, and they ask you why you just did that, it's a pretty good indication that they are not in their correct venues.
Followed by a shot over the fence into the heart, and a third into the head. It was confirmed rabid.
Do not trust cats, skunks, coons, foxes, or coyotes. All are in the temp range to carry rabies. If you trap one of these, call Animal Control. Unless you know the difference. My favorite cat was a stray that bit me on our first encounter.
When in doubt; SHOUT!