Here, it's 16 1/2 to get a learner's permit, 17 for a provisional driver's license and 18 for a "real" one. Provisional means that they have a 12 midnight driving curfew and can't have more than one kid in the car at a time with an adult. The roads are very crowded here, so it makes sense to do it that way. I imagine it's rural areas that allow kids to drive at 14.
When I was 13, I babysat for 3 little girls who lived up the street from me. I had that job for a couple of years, and I had a lot of responsibilities for them. I really wanted/needed the money so that was my incentive to act maturely.
My son is 13 and he's been going to the movies for couple of years with his friends. They do a lot of things with each other and no parents along--school events, movies, bowling alley, golf center, mall, local carnivals, etc.