Not an easy question. These statistics are scattered and hard to process.
One of the best summaries I've seen is here. It's not official, but the airline stats check against the original source. For GA, numbers have to be converted from 0.77 per 100k flight-hours to 35 per 1B miles at an average of 215 mph. For convenience, I'll use fatalities per trillion pax-miles or TPM. Fatality rates for crew tend to be a bit lower than for passengers, but not by far.
It comes down to:
- 70 per TPM for airliners; numbers are pre-MAX and exclude 9/11
- 110 per TPM for buses
- 150 per TPM for trains
- 7,300 per TPM for cars
- ~35,000 per TPM for GA
- 212,000 per TPM for motorcycles
That paints a picture of a 1:100 ratio of airline to car fatalities.
That said, the average US car driver covers 37 miles per day. The average FA does 90 hours per month, which at 500 mph comes to 1,500 miles per day. So the claim isn't 100% true - a daily car commute in the US is still 2.5x more dangerous than a flight crew job. But the US averages more traffic fatalities than Europe with its shorter commutes.
This doesn't compare flying all day with driving all day, only flying as a job with a simple daily commute. That said, professional drivers do build up skill resulting in lower accident rates. Buses have great stats. Taxi stats have been polluted by modern taxis being primarily ride-hail services with many part-time drivers, but even they average a lower accident rate than car commuters.
The real myth is that road driving is an exception from the rule that proficiency takes time and effort to achieve. The statistics say it's not. Professional drivers are better and safer than amateur drivers by almost as wide a margin (1:70) as that between amateur GA pilots and professional ATPs (1:500). People who drive for a living are in fact better at it than the rest of us.
A confounding factor is that airliners, even ones from less-reputable builders or in less-reputable airlines, are designed, built and maintained to incomparably higher standards than GA airplanes. This definitely plays into that 1:500 ratio. Between cars and buses, though, the difference in build and service quality is less drastic.
GA's safety record is comparable to other extreme sports and on the low end of the extreme, similar to scuba diving. It's safer than skydiving, mountaineering, or motorcycling. But not in the range of common carrier safety. Part of the reason is lack of hardware redundancy, a larger part is a low skill threshold. It's a sport that can also be a means of transportation, not the other way around.