Why would a car stall why driving slow then backing out of driveway while shifting from r to d then driving at road speed limit then rounding a corner and now parked just cranks but won't start?

There are a number of possibilities depending on make and model. An unusual one I have seen happens mostly when there is less than full tank of gas. The fuel pickup tube is cracked and the sloshing of fuel can cause the sucking of air into the line.This same sloshing of fuel can happen shifting from reverse to forward. sometimes this will happen only when turning right but not when you turn left or vica versa.If left un fixed long enough the tube may eventally suck air most of the time preventing the car from running at all-Backyard Mechanic