Car cuts off

I bought new terminals and had the battery tested a cell was out. So I replaced the battery with new one and maybe a week later it started cutting off while driving, would not crank back up until next day. Drove it home replaced fuel pump cut off again. Cranked up next day drove it and it cut off again. Replaced fuel filter and it cut off. Plugged computer up to it said fuel pump stuck, so I replaced fuel pump relay drive it and it cuts off again and will not crank until next day. I replaced ignition switch, it cuts off again like before. I plug computer to it and it says MAF sensor replace that same thing. Now it is saying low circuit MAF censor and the car has started running bad and I smell the catalytic converter. When I rev up the engine I hear what sounds like a pop. Could this be the problem?

Okay, I do remember when buying battery at Advance Auto they installed it and when I went to crank it seemed to hesitate and the guy said that the starter was not getting enough power. Since last post on here I have replaced the engine control module and drove it maybe twenty six miles nonstop and the engine is back doing the same puttering. When I put it in drive or reverse it acts like it wants to cut off, it actually did and took several try to get it cranked. Even when you hear the motor fan come on you can hear the engine bog down a little. I am at my wits end I have spent more money than I can afford on this but it is all that I have. Any ideals?

I took the ground off of the battery and the car still runs.

And yes I had the alternator tested.

Thanks, I changed the plugs and wires still running poorly. It is like when I give it the gas it has no power and I hear a popping noise and almost wants to shut off when slowing down. Do you think that it could be the catalytic converter from all the unused gas going into it?

Okay, I have an update I replaced the plugs and wires and it still runs horrible has no power as far as acceleration and its making popping noises. When you give it the gas to hard hooked the computer up to it and it says fuel pump stuck. Reminder this is a new fuel pump, but the mechanic broke off two bolts in the housing. Would that make a difference? And I drove it to work puttering along and it shuts off again after sixteen miles and does not want to crank back. But tomorrow I will go back to this car and it will crank and I will drive it home. I have spent $600.00 in parts alone. I am at my wits end. Please help!

I took the new fuel pump back and exchanged it for another one. I have been scared to drive it for the fear of it shutting off. But the last code was fuel pump stuck that was before I changed the last one out.