That's the red line in this chart: https://upload.wikimedia.org/wikipedia/commons/thumb/4/4f/US...
The period of most rapid car safety improvements came during a single ten-year period, from 1910 - 1920, where deaths, again, expressed per passenger mile, halved in only ten years.
- Electric / automatic starters.
- Arrangement of controls (accelerator, brake, clutch)
- Windshields.
- Brakes.
- Brake lights.
- Turn indicators.
Various improvements to roads, signage, and lighting as well, I suspect. As well as people simply knowing what cars were and what to expect from their behaviour.