The Land Rover LR4 would be a good choice. It as 12.2 inches of ground clearance and full time AWD and should handle deep snow handily.

If you can’t drive in normal car, the mall is closed. The employees can’t get there either.

The Top Gear Retrofit Toyota Hilux.

You see a lot of Suburus in Vermont.

Obviously, if the snow is high, the higher off the ground the vehicle the more likely that vehicle can get through. You can mount a snow shovel, like what a snowplow has, on the front of a truck. Front wheel, or even better all wheel, drive is best. When going out in deep snow and very bad weather conditions be sure to bring a blanket in the car and have waterproof boots on or in the car. Cell phone for emergencies, but don’t count on your cell phone. Have people expecting you, so someone knows if you are late.

I thought you live in the South. In the South my advice is stay home. Southern snow is usually very wet. It falls from the sky wet. During the “warm” of the day from the air temps and cars driving on the road, the snow starts melting, and then in the cold temps of the evening it freezes to ice. No one can drive on ice.

The thing to remember when driving on snowy, possibly ice roads, is it’s not really the driving it’s the stopping! You have to drive like you don’t have fully functioning brakes.

If the snow is deep on the main roads you don’t live in a place that handles snow well, so probably best to wait until the roads are clear.

*Subaru

Your best bet is get a very good set of winter snow tires and drive according to conditions, you can get an suv with a lift that can get through the deep snow but you have to drive it year round, @JLeslie is right and you might get something that can get through anything but can it stop?

I have an older Tahoe with 4WD and 32” diameter tires. It goes anywhere. It blasts through the snow pile left by the snow plow at the end of the driveway. But gets only gets 14 MPG.
I also have a newer Subaru Forester. That does a reasonably good job and gets 28 MPG.
If it were to get stuck the Tahoe can pull it out.
Example
Example 2
Example 3

i don’t need to get through the deepest snow. I just prefer to be better than 95% of the vehicles on the road.

@SQUEEKY2 Not just can the vehicle stop, but does the driver know how to stop, or when better not to stop, handle a skid, release the brake, drive into snow which will have more traction than to continue to slide across ice in a bad moment.

Winter tires are great advice, they make a big difference, but if the OP lives in a warming climate that’s unlikely. All weather is probably the best we can hope for. I don’t remember for sure where she lives. My reference to the plow on the front of ones own truck is ridiculous in that scenario as well.

@ragingloli I knew it didn’t look right!

A Land Rover Defender.

The right tires make all the difference in the world. I haven’t had all-season tires in ages. I usually have snow tires and mud tires. At one point, I had ice tires and mud tires. In those days, I lived and travelled further north – the road surfaces just seemed to freeze solid. Had a block heater and a battery blanket for the car. When I moved back to southern Ontario, people often asked what the battery blanket was about. Oh that, that’s a life saver. A friend’s jeep once froze up so badly it had to be towed to a garage to be thawed out. We drove my little old Honda Civic with the ice tires around Kapuskasing that day.

Any depth? None.

One great thing about living up in the frigid northlands that my friends and family down south don’t get – snow is rarely a problem here.

A 4 wheel drive vehicle with adequate ground clearance, sufficient engine power, weight for traction, good weight distribution front to rear and side to side, good quality not-too-wide snow tires with studs, and limited slip posi-traction locking differentials front and rear.

“Any kind or any depth?” None. If there is three feet of snow on the ground, it’s got to be plowed before a vehicle can get around. It’s rare to have three feet of snow, but the question specified “any kind or depth.”

Of course, I was assuming that any kind of depth meant any kind of depth that would still allow passage of some kind by some kind of vehicle.

@kritiper: I wasn’t necessarily directing my comment at you. Just a general statement.

@kritiper Given the clarification, then my answer would be pretty much any 4X4 or AWD with a decent set of appropriate tires in good condition and the vehicle is in good mechanical condition.

My vehicles of choice for the last decade plus have been Jeeps of various sorts…Cherokee, Grand Cherokee, Wrangler and now a Liberty. Haven’t been stopped yet.

Subaru seems to be the State Vehicle in Colorado and Vermont…

Jeeps have the locking differentials I mentioned, and (I think) they come stock. Other vehicles, not so much. I would pick a Chevy or GMC Blazer or Avalanche, not necessarily the Suburban size, with DANA lockers. Not every 4X4 has locking or limited slip type differentials!

@jca Noted. No sweat!