Colleen, not all of us changed how we parent, except insofar as we have to follow the local laws. The only thing that I do differently that my parents did not, other than carseats and seatbults, is to hover too much over making sure their schoolwork gets done. (I do NOT ever second-guess teachers about their work, though. They take their academic lumps when they screw up.)
I'm pretty free-range with my kids outdoor activities.. Lots of their peers' parents are horrified, but then, most of them are much younger than I am. I mostly trust my kids to use their heads to keep from ending up dead. If they break an arm, well, that's childhood. DH is much more of a hoverer, but that's just his nature; he's a what-if kind of guy. My kids latchkey, and the 16 yo supervises the 6 yo and picks her up from the bus. They fight, but so far both of them are still alive.
The only kids I ever knew who died accidentally drowned; though one of them might have been decapitated -- no one was ever really sure, because the dummy was swimming in a shipping lane and was found in two pieces. He might have already been dead when the boat hit him (he was 12.). Drowning is still a major cause of accidental death, and is the one area where my father was insane about safety, because we grew up fishing commercially and spent a lot of time on open water. We handled gaff hooks and razor-sharp boning knives from a very early age, but we always did it wearing a PFD! I also knew a couple of kids who were severely injured in car wrecks, but they all eventually recovered. OTOH, casts and stitches were a rather common sight at my grade school, and in the sub-tropical South, ALL of us knew the first aid routine for snakebite.