Earlier quoted context omitted.
It's the safest per mile, but not per journey. A nice comparison to other transport methods, including taking the bus, and the Space Shuttle: https://en.wikipedia.org/wiki/Aviation_safety#Transport_comp...
These numbers are from 1990-2000. Airlines have gotten much safer since then, so I believe they would now be much safer per-journey, too. https://www.airlines.org/dataset/safety-record-of-u-s-air-ca... (The difference between per-mile and per-journey is still interesting!)
US airlines have a fatal crash rate very close to zero. 'General aviation', which roughly means private light aircraft, is a very different world and has roughly 1 fatal crash per 100,000 hours flown, making it less safe than driving. Chartered flights are somewhere in the middle.
There's not much sense looking at the overall figure for aviation; the different categories really are very different.