My daughters both have their own .22s - they're 8 and 14.
They have .20ga shotguns, too, but don't get nearly as much use out of those.
We currently live in a neighborhood, and my biggest fear in letting them run around is other people calling the police on them for just being unattended. I've already had that happen once, while they were in my own front yard.
We're in the process of looking for a bigger property, further away from other people, where our kids can actually be kids. We'll be able to keep some livestock, and they can ride four-wheelers, gokarts, and dirt bikes. Today they can only do those things when we take them somewhere there's room to do it.
Where I grew up a .22 was considered a kid rifle. Yes, FL, but I think it was common in other places.