Oops. I missed where you said for a car. I was thinking SUV/Jeep tires when I mentioned ATs.
For a car get some Hankook Ipike Winter tires. They are good for year round use, even though they are Winter tires. That's convenient, if you want to leave them on all year.
I have them on my Buick car. They have really good snow and ice traction after an initial 500 miles break in period. Before the break-in period is up, the Winter traction is OK. After break-in, the Winter traction is excellent.
Break-in makes traction better because the tire mold lubricant wears off, or washes off (not sure which) and the treads get scruffed by pavement over a few hundred miles use, which increases traction too.
If you leave them on year round, they are warrented to last 40K miles, though it looks like I'll get 50K from mine. Mine already have 10K miles on them and show no wear than I can see.
They are studdable, but I did not have studs added to mine. My car does great on snow and good on ice. No studs or chaines needed.
Nokian makes excellent Winter tires, both of the year round use type, and the dedicated Winter type. Nokian is another good choice, but is expensive. The Hankook cost less.
The least expensive choice is Hercules Avalanche Xtreme Passenger snow tires. They are USA owned and made (unlike Nokian or Hankook) and are excellent for Winter traction. They are studdable, but you won't need studs or chains with these tires. Like the Hankook Ipike, they can be used year round and reviews says the Hercules Avalanche Xtreme passenger tires last around 45K miles of year round use (same as Hankook Ipike lasts).
Warning: I often edit my posts a few times to get them complete or correct errors.