Other Fuel System Pump problems of the 2004 Hyundai Santa Fe

When I put gas in my car it will not start afterward. First it started only when my car was turned off. When I left my car running it was ok. Now it turns off when my car is running also. The mechanic said, it may be a bad fuel pump, cost $350 to replace, but can't guarantee this will fix the issue. I see I am not the only one with this issue. Why is this not a recall?? I google it and there are so many people with same problem. Also with the car accelerating by itself. I thought I was crazy. I see now that others are having this problem as well. Everyone said I imagined it. Why is this not a recall?.

Car stalls without warning while driving. First occurrence was over a year ago. I was driving down i5 going 70 mph when the car suddenly died. I lost my power steering and brakes. I managed to coast to the next exit. It started after sitting a few minutes. And I was able to make it home. I've received codes for camshaft sensor, misfires, low catalyst. I've changed the cam and crank sensors, coils, spark plugs, timing belt and assembly, fuel pressure regulator and fuel pump over the past year. Still having the issue. Car drives fantastic for about 10 miles and stalls out. After waiting about 5 min. It can be driven for another few miles before stalling out again. Check engine light does not turn on when it stalls now. Very dangerous when trying to drive in town or attempting to merge into traffic. You never know when it will stall out.