Had the same reaction. No chains on our cars in the 70s. The VW Bug tho, did have oversized snowtires on the back. Had to put a bit of weight in the bonnet. That little beastie cut thro the snow like a hot knife in butter.
I think that's the key to the "good old days"...snow tires. Also, cars didn't have those wide, low profile tires like they do today, so traction was often better, despite not having ABS, traction control, and all that other stuff. The all-season radials they sell nowadays simply aren't as good, in my opinion, as a dedicated snow tire. One thing I don't miss, though, is that annual ritual of putting the snow tires on the car at the start of snow season, and then taking them off in the spring...and then hoping you don't get another last-minute snow storm!
And, I've heard that VW Bugs were some of the best cars in the snow back in the day, thanks to having most of the weight over the drive wheels. In my younger days, I had a 1980 Chevy Malibu, and then a 1969 Dart and a 1968 Dart, that I used snow tires on. One day in 1995 though, during a time when I was pretty broke, that '68 Dart needed new rear tires. But, to save a little money, I put the snow tires on...nevermind the fact that it was summer! They still had good tread. Unfortunately, they were also old and dry-rotted. I don't know how old they were, but when Mom gave me the Malibu in 1987, she gave me the snow tires, too, and they probably had a few years on them at that point. I had a blow out at around 50 mph.
And, that was the last time I owned a snow tire. Since then, I've just used all season radials. The part of Maryland I live in really doesn't get that much snow, and I usually get along just fine with them.