I top my tank with a mixture of pump gas, avgas, and stabil or sea foam. I change the oil. I pump the tires up to 45 psi to prevent flat spotting. Then I put the sun visors down and toss dryer sheets around in the interior and under the hood to combat mice. If I was more ambitious I'd stuff steel wool in my exhaust tips as I've heard mice like traveling up the exhaust system to take up residence in the engine. Then I put a car cover on and forget about it until spring.
In the past when I had a repro Mopar battery, I'd store it in my house on a block of wood in my basement. I've given up on those for the time being and just disconnect the Walmart batteries I use now. The wal mart battery in my vert is so old I've lost track of it's age, somewhere between 10 and 15 years old and as of October, still good!!!
I've been doing this for years and no problems. Previously I'd had a few mouse issues with storing cars, chewed up upholstery foam and holes in the headliner above the visor.
I hate mice! I park my DD outside and this year I found some evidence of mice under the hood. Today my check engine light went on in my 2014 car. I'm fearing mice chewed up some wiring and whatever's wrong won't be covered under warranty. I'll find out next week.
IMO, mice are the biggest danger to a stored car.