I'm not going to list all that is in my car, because it's a lot. 01 Subaru and the tire area storage is extensive. I fit a 12V air pump in the same side compartment as the jack, other little side compartment full of tools.
On the shovel, get a Glock shovel if for nothing more than the saw. I have been impeded by fallen trees 4-5 times in the past few years. Weather is ignorant of late, I have a packable bow saw, the shovel, and lately an axe in the car. Throw the grain scoop in if heavy snow is forecast.
I keep a spool of paracord, as well as several small motorcycle strap binders, and at least one heavy duty nylon ratchet strap load binder. I've used them once for tying crap to the roof, but used the big strap several times as a tow strap.
I keep at least $20 in cash in the car always, little cubby hole, I toss all coins quarter and larger, usually a few bills too.