I'm a pilot and aircraft owner. Flying cars have been technically feasible since before I was born, but they have a huge practical problem: like a bird's wings, flying surfaces (propeller, wings, control surfaces, stabilizers) are necessarily lightweight and, in some ways, fragile. In a plane, everything is astoundingly expensive to repair, and if there is hidden structural damage (like internal stress fractures), I can die. Like most pilots, I spend 15-30 minutes inspecting my plane before every flight, rain or shine, and I keep it at an airport, behind a fence, safe from hazards.
I just can't reconcile the care I have to take with an airplane with driving one on a city street, parallel parking in a tight spot, driving through potholes, or leaving it in a supermarket parking lot. It just doesn't make sense. Even if I find the damage, one fender bender could cost me $10-20K to repair.